--- a/browser/devtools/framework/test/browser_devtools_api.js
+++ b/browser/devtools/framework/test/browser_devtools_api.js
@@ -1,11 +1,18 @@
 /* Any copyright is dedicated to the Public Domain.
  * http://creativecommons.org/publicdomain/zero/1.0/ */
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed.
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("TypeError: this.docShell is null");
+
 // Tests devtools API
 
 const Cu = Components.utils;
 const toolId1 = "test-tool-1";
 const toolId2 = "test-tool-2";
 
 let tempScope = {};
 Cu.import("resource://gre/modules/devtools/event-emitter.js", tempScope);

--- a/browser/devtools/framework/test/browser_toolbox_tool_ready.js
+++ b/browser/devtools/framework/test/browser_toolbox_tool_ready.js
@@ -1,11 +1,18 @@
 /* Any copyright is dedicated to the Public Domain.
    http://creativecommons.org/publicdomain/zero/1.0/ */
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed. 
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("Error: Shader Editor is still waiting for a WebGL context to be created.");
+
 function performChecks(target) {
   return Task.spawn(function() {
     let toolIds = gDevTools.getToolDefinitionArray()
                            .filter(def => def.isTargetSupported(target))
                            .map(def => def.id);
 
     let toolbox;
     for (let index = 0; index < toolIds.length; index++) {

--- a/browser/devtools/framework/test/browser_toolbox_tool_remote_reopen.js
+++ b/browser/devtools/framework/test/browser_toolbox_tool_remote_reopen.js
@@ -1,11 +1,18 @@
 /* Any copyright is dedicated to the Public Domain.
    http://creativecommons.org/publicdomain/zero/1.0/ */
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed. 
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("Error: Shader Editor is still waiting for a WebGL context to be created.");
+
 const { DebuggerServer } =
   Cu.import("resource://gre/modules/devtools/dbg-server.jsm", {});
 const { DebuggerClient } =
   Cu.import("resource://gre/modules/devtools/dbg-client.jsm", {});
 
 /**
  * Bug 979536: Ensure fronts are destroyed after toolbox close.
  *

--- a/browser/devtools/inspector/test/browser_inspector_menu.js
+++ b/browser/devtools/inspector/test/browser_inspector_menu.js
@@ -1,13 +1,20 @@
 /* vim: set ts=2 et sw=2 tw=80: */
 /* Any copyright is dedicated to the Public Domain.
 http://creativecommons.org/publicdomain/zero/1.0/ */
 "use strict";
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed.
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("TypeError: jsterm.focusInput is not a function");
+
 // Test context menu functionality:
 // 1) menu items are disabled/enabled depending on the clicked node
 // 2) actions triggered by the items work correctly
 
 const TEST_URL = TEST_URL_ROOT + "doc_inspector_menu.html";
 const MENU_SENSITIVITY_TEST_DATA = [
   {
     desc: "doctype node",

--- a/browser/devtools/netmonitor/test/browser_net_charts-01.js
+++ b/browser/devtools/netmonitor/test/browser_net_charts-01.js
@@ -1,11 +1,18 @@
 /* Any copyright is dedicated to the Public Domain.
    http://creativecommons.org/publicdomain/zero/1.0/ */
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed.
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("TypeError: aValue.content is undefined");
+
 /**
  * Makes sure Pie Charts have the right internal structure.
  */
 
 function test() {
   initNetMonitor(SIMPLE_URL).then(([aTab, aDebuggee, aMonitor]) => {
     info("Starting test... ");
 

--- a/browser/devtools/shadereditor/test/browser_se_aaa_run_first_leaktest.js
+++ b/browser/devtools/shadereditor/test/browser_se_aaa_run_first_leaktest.js
@@ -1,11 +1,18 @@
 /* Any copyright is dedicated to the Public Domain.
    http://creativecommons.org/publicdomain/zero/1.0/ */
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed. 
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("Error: Shader Editor is still waiting for a WebGL context to be created.");
+
 /**
  * Tests if the shader editor leaks on initialization and sudden destruction.
  * You can also use this initialization format as a template for other tests.
  */
 
 function ifWebGLSupported() {
   let { target, panel } = yield initShaderEditor(SIMPLE_CANVAS_URL);
 

--- a/browser/devtools/shadereditor/test/browser_se_editors-contents.js
+++ b/browser/devtools/shadereditor/test/browser_se_editors-contents.js
@@ -1,11 +1,18 @@
 /* Any copyright is dedicated to the Public Domain.
    http://creativecommons.org/publicdomain/zero/1.0/ */
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed. 
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("Error: Shader Editor is still waiting for a WebGL context to be created.");
+
 /**
  * Tests if the editors contain the correct text when a program
  * becomes available.
  */
 
 function ifWebGLSupported() {
   let { target, panel } = yield initShaderEditor(SIMPLE_CANVAS_URL);
   let { gFront, ShadersEditorsView, EVENTS } = panel.panelWin;

--- a/browser/devtools/shadereditor/test/browser_se_editors-error-gutter.js
+++ b/browser/devtools/shadereditor/test/browser_se_editors-error-gutter.js
@@ -1,11 +1,18 @@
 /* Any copyright is dedicated to the Public Domain.
    http://creativecommons.org/publicdomain/zero/1.0/ */
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed. 
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("Error: Shader Editor is still waiting for a WebGL context to be created.");
+
 /**
  * Tests if error indicators are shown in the editor's gutter and text area
  * when there's a shader compilation error.
  */
 
 function ifWebGLSupported() {
   let { target, panel } = yield initShaderEditor(SIMPLE_CANVAS_URL);
   let { gFront, EVENTS, ShadersEditorsView } = panel.panelWin;

--- a/browser/devtools/shadereditor/test/browser_se_editors-error-tooltip.js
+++ b/browser/devtools/shadereditor/test/browser_se_editors-error-tooltip.js
@@ -1,11 +1,18 @@
 /* Any copyright is dedicated to the Public Domain.
    http://creativecommons.org/publicdomain/zero/1.0/ */
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed. 
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("Error: Shader Editor is still waiting for a WebGL context to be created.");
+
 /**
  * Tests if error tooltips can be opened from the editor's gutter when there's
  * a shader compilation error.
  */
 
 function ifWebGLSupported() {
   let { target, panel } = yield initShaderEditor(SIMPLE_CANVAS_URL);
   let { gFront, EVENTS, ShadersEditorsView } = panel.panelWin;

--- a/browser/devtools/shadereditor/test/browser_se_editors-lazy-init.js
+++ b/browser/devtools/shadereditor/test/browser_se_editors-lazy-init.js
@@ -1,11 +1,18 @@
 /* Any copyright is dedicated to the Public Domain.
    http://creativecommons.org/publicdomain/zero/1.0/ */
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed. 
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("Error: Shader Editor is still waiting for a WebGL context to be created.");
+
 /**
  * Tests if source editors are lazily initialized.
  */
 
 function ifWebGLSupported() {
   let { target, panel } = yield initShaderEditor(SIMPLE_CANVAS_URL);
   let { gFront, ShadersEditorsView } = panel.panelWin;
 

--- a/browser/devtools/shadereditor/test/browser_se_first-run.js
+++ b/browser/devtools/shadereditor/test/browser_se_first-run.js
@@ -1,11 +1,18 @@
 /* Any copyright is dedicated to the Public Domain.
    http://creativecommons.org/publicdomain/zero/1.0/ */
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed. 
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("Error: Shader Editor is still waiting for a WebGL context to be created.");
+
 /**
  * Tests if the shader editor shows the appropriate UI when opened.
  */
 
 function ifWebGLSupported() {
   let { target, panel } = yield initShaderEditor(SIMPLE_CANVAS_URL);
   let { gFront, $ } = panel.panelWin;
 

--- a/browser/devtools/shadereditor/test/browser_se_navigation.js
+++ b/browser/devtools/shadereditor/test/browser_se_navigation.js
@@ -1,11 +1,18 @@
 /* Any copyright is dedicated to the Public Domain.
    http://creativecommons.org/publicdomain/zero/1.0/ */
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed. 
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("Error: Shader Editor is still waiting for a WebGL context to be created.");
+
 /**
  * Tests target navigations are handled correctly in the UI.
  */
 
 function ifWebGLSupported() {
   let { target, panel } = yield initShaderEditor(SIMPLE_CANVAS_URL);
   let { gFront, $, EVENTS, ShadersListView, ShadersEditorsView } = panel.panelWin;
 

--- a/browser/devtools/shadereditor/test/browser_se_programs-blackbox-01.js
+++ b/browser/devtools/shadereditor/test/browser_se_programs-blackbox-01.js
@@ -1,11 +1,18 @@
 /* Any copyright is dedicated to the Public Domain.
    http://creativecommons.org/publicdomain/zero/1.0/ */
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed. 
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("Error: Shader Editor is still waiting for a WebGL context to be created.");
+
 /**
  * Tests if blackboxing a program works properly.
  */
 
 function ifWebGLSupported() {
   let { target, debuggee, panel } = yield initShaderEditor(MULTIPLE_CONTEXTS_URL);
   let { gFront, EVENTS, ShadersListView, ShadersEditorsView } = panel.panelWin;
 

--- a/browser/devtools/shadereditor/test/browser_se_programs-blackbox-02.js
+++ b/browser/devtools/shadereditor/test/browser_se_programs-blackbox-02.js
@@ -1,11 +1,18 @@
 /* Any copyright is dedicated to the Public Domain.
    http://creativecommons.org/publicdomain/zero/1.0/ */
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed. 
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("Error: Shader Editor is still waiting for a WebGL context to be created.");
+
 /**
  * Tests if blackboxing a program works properly in tandem with blended
  * overlapping geometry.
  */
 
 function ifWebGLSupported() {
   let { target, debuggee, panel } = yield initShaderEditor(BLENDED_GEOMETRY_CANVAS_URL);
   let { gFront, EVENTS, ShadersListView, ShadersEditorsView } = panel.panelWin;

--- a/browser/devtools/shadereditor/test/browser_se_programs-list.js
+++ b/browser/devtools/shadereditor/test/browser_se_programs-list.js
@@ -1,11 +1,18 @@
 /* Any copyright is dedicated to the Public Domain.
    http://creativecommons.org/publicdomain/zero/1.0/ */
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed. 
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("Error: Shader Editor is still waiting for a WebGL context to be created.");
+
 /**
  * Tests if the programs list contains an entry after vertex and fragment
  * shaders are linked.
  */
 
 function ifWebGLSupported() {
   let { target, panel } = yield initShaderEditor(MULTIPLE_CONTEXTS_URL);
   let { gFront, EVENTS, L10N, ShadersListView, ShadersEditorsView } = panel.panelWin;

--- a/browser/devtools/shadereditor/test/browser_se_shaders-edit-01.js
+++ b/browser/devtools/shadereditor/test/browser_se_shaders-edit-01.js
@@ -1,11 +1,18 @@
 /* Any copyright is dedicated to the Public Domain.
    http://creativecommons.org/publicdomain/zero/1.0/ */
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed. 
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("Error: Shader Editor is still waiting for a WebGL context to be created.");
+
 /**
  * Tests if editing a vertex and a fragment shader works properly.
  */
 
 function ifWebGLSupported() {
   let { target, panel } = yield initShaderEditor(SIMPLE_CANVAS_URL);
   let { gFront, $, EVENTS, ShadersEditorsView } = panel.panelWin;
 

--- a/browser/devtools/shadereditor/test/browser_se_shaders-edit-02.js
+++ b/browser/devtools/shadereditor/test/browser_se_shaders-edit-02.js
@@ -1,11 +1,18 @@
 /* Any copyright is dedicated to the Public Domain.
    http://creativecommons.org/publicdomain/zero/1.0/ */
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed. 
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("Error: Shader Editor is still waiting for a WebGL context to be created.");
+
 /**
  * Tests if compile or linkage errors are emitted when a shader source
  * gets malformed after being edited.
  */
 
 function ifWebGLSupported() {
   let { target, panel } = yield initShaderEditor(SIMPLE_CANVAS_URL);
   let { gFront, EVENTS, ShadersEditorsView } = panel.panelWin;

--- a/browser/devtools/shadereditor/test/browser_se_shaders-edit-03.js
+++ b/browser/devtools/shadereditor/test/browser_se_shaders-edit-03.js
@@ -1,11 +1,18 @@
 /* Any copyright is dedicated to the Public Domain.
    http://creativecommons.org/publicdomain/zero/1.0/ */
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed. 
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("Error: Shader Editor is still waiting for a WebGL context to be created.");
+
 /**
  * Tests if editing a vertex and a fragment shader would permanently store
  * their new source on the backend and reshow it in the frontend when required.
  */
 
 function ifWebGLSupported() {
   let { target, panel } = yield initShaderEditor(MULTIPLE_CONTEXTS_URL);
   let { gFront, EVENTS, ShadersListView, ShadersEditorsView } = panel.panelWin;

--- a/browser/devtools/shared/test/browser_telemetry_toolboxtabs_shadereditor.js
+++ b/browser/devtools/shared/test/browser_telemetry_toolboxtabs_shadereditor.js
@@ -1,11 +1,18 @@
 /* Any copyright is dedicated to the Public Domain.
    http://creativecommons.org/publicdomain/zero/1.0/ */
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed. 
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("Error: Shader Editor is still waiting for a WebGL context to be created.");
+
 const TEST_URI = "data:text/html;charset=utf-8,<p>browser_telemetry_toolboxtabs_shadereditor.js</p>";
 
 // Because we need to gather stats for the period of time that a tool has been
 // opened we make use of setTimeout() to create tool active times.
 const TOOL_DELAY = 200;
 
 let {Promise: promise} = Cu.import("resource://gre/modules/devtools/deprecated-sync-thenables.js", {});
 let {Services} = Cu.import("resource://gre/modules/Services.jsm", {});

--- a/browser/devtools/styleeditor/test/browser_styleeditor_autocomplete.js
+++ b/browser/devtools/styleeditor/test/browser_styleeditor_autocomplete.js
@@ -1,12 +1,19 @@
 /* vim: set ts=2 et sw=2 tw=80: */
 /* Any copyright is dedicated to the Public Domain.
    http://creativecommons.org/publicdomain/zero/1.0/ */
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed. 
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("Error: Unknown sheet source");
+
 const TESTCASE_URI = TEST_BASE + "autocomplete.html";
 const MAX_SUGGESTIONS = 15;
 
 // Pref which decides if CSS autocompletion is enabled in Style Editor or not.
 const AUTOCOMPLETION_PREF = "devtools.styleeditor.autocompletion-enabled";
 
 const {CSSProperties, CSSValues} = getCSSKeywords();
 

--- a/browser/devtools/styleeditor/test/browser_styleeditor_bug_851132_middle_click.js
+++ b/browser/devtools/styleeditor/test/browser_styleeditor_bug_851132_middle_click.js
@@ -1,11 +1,18 @@
 /* Any copyright is dedicated to the Public Domain.
    http://creativecommons.org/publicdomain/zero/1.0/ */
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed. 
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("Error: Unknown sheet source");
+
 const TESTCASE_URI = TEST_BASE + "four.html";
 
 let gUI;
 
 function test() {
   waitForExplicitFinish();
 
   addTabAndOpenStyleEditors(4, runTests);

--- a/browser/devtools/styleeditor/test/browser_styleeditor_highlight-selector.js
+++ b/browser/devtools/styleeditor/test/browser_styleeditor_highlight-selector.js
@@ -1,12 +1,19 @@
 /* vim: set ts=2 et sw=2 tw=80: */
 /* Any copyright is dedicated to the Public Domain.
    http://creativecommons.org/publicdomain/zero/1.0/ */
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed. 
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("Error: Unknown sheet source");
+
 // Test that hovering over a simple selector in the style-editor requests the
 // highlighting of the corresponding nodes
 
 waitForExplicitFinish();
 
 const TEST_URL = "data:text/html;charset=utf8," +
                  "<style>div{color:red}</style><div>highlighter test</div>";
 

--- a/browser/devtools/styleeditor/test/browser_styleeditor_inline_friendly_names.js
+++ b/browser/devtools/styleeditor/test/browser_styleeditor_inline_friendly_names.js
@@ -1,12 +1,19 @@
 /* vim: set ts=2 et sw=2 tw=80: */
 /* Any copyright is dedicated to the Public Domain.
    http://creativecommons.org/publicdomain/zero/1.0/ */
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed. 
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("Error: Unknown sheet source");
+
 let gUI;
 
 const FIRST_TEST_PAGE = TEST_BASE + "inline-1.html"
 const SECOND_TEST_PAGE = TEST_BASE + "inline-2.html"
 const SAVE_PATH = "test.css";
 
 function test()
 {

--- a/browser/devtools/styleeditor/test/browser_styleeditor_new.js
+++ b/browser/devtools/styleeditor/test/browser_styleeditor_new.js
@@ -1,12 +1,19 @@
 /* vim: set ts=2 et sw=2 tw=80: */
 /* Any copyright is dedicated to the Public Domain.
    http://creativecommons.org/publicdomain/zero/1.0/ */
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed. 
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("Error: Unknown sheet source");
+
 const TESTCASE_URI = TEST_BASE + "simple.html";
 
 let TESTCASE_CSS_SOURCE = "body{background-color:red;";
 
 let gOriginalHref;
 let gUI;
 
 waitForExplicitFinish();

--- a/browser/devtools/styleeditor/test/browser_styleeditor_pretty.js
+++ b/browser/devtools/styleeditor/test/browser_styleeditor_pretty.js
@@ -1,12 +1,19 @@
 /* vim: set ts=2 et sw=2 tw=80: */
 /* Any copyright is dedicated to the Public Domain.
    http://creativecommons.org/publicdomain/zero/1.0/ */
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed. 
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("Error: Unknown sheet source");
+
 const TESTCASE_URI = TEST_BASE + "minified.html";
 
 let gUI;
 
 function test()
 {
   waitForExplicitFinish();
 

--- a/browser/devtools/styleeditor/test/browser_styleeditor_reload.js
+++ b/browser/devtools/styleeditor/test/browser_styleeditor_reload.js
@@ -1,12 +1,19 @@
 /* vim: set ts=2 et sw=2 tw=80: */
 /* Any copyright is dedicated to the Public Domain.
    http://creativecommons.org/publicdomain/zero/1.0/ */
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed. 
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("Error: Unknown sheet source");
+
 const TESTCASE_URI = TEST_BASE_HTTPS + "simple.html";
 const NEW_URI = TEST_BASE_HTTPS + "media.html";
 
 const LINE_NO = 5;
 const COL_NO = 3;
 
 let gContentWin;
 let gUI;

--- a/browser/devtools/styleeditor/test/browser_styleeditor_selectstylesheet.js
+++ b/browser/devtools/styleeditor/test/browser_styleeditor_selectstylesheet.js
@@ -1,12 +1,19 @@
 /* vim: set ts=2 et sw=2 tw=80: */
 /* Any copyright is dedicated to the Public Domain.
    http://creativecommons.org/publicdomain/zero/1.0/ */
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed. 
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("Error: Unknown sheet source");
+
 const TESTCASE_URI = TEST_BASE_HTTPS + "simple.html";
 const NEW_URI = TEST_BASE_HTTPS + "media.html";
 
 const LINE_NO = 5;
 const COL_NO  = 0;
 
 let gContentWin;
 let gUI;
@@ -43,9 +50,9 @@ function runTests()
       is(line, LINE_NO, "correct line selected");
       is(ch, COL_NO, "correct column selected");
 
       gUI = null;
       finish();
     });
   });
   gUI.selectStyleSheet(gUI.editors[1].styleSheet.href, LINE_NO);
-}
\ No newline at end of file
+}

--- a/browser/devtools/styleeditor/test/browser_styleeditor_sv_keynav.js
+++ b/browser/devtools/styleeditor/test/browser_styleeditor_sv_keynav.js
@@ -1,12 +1,19 @@
 /* vim: set ts=2 et sw=2 tw=80: */
 /* Any copyright is dedicated to the Public Domain.
    http://creativecommons.org/publicdomain/zero/1.0/ */
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed. 
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("Error: Unknown sheet source");
+
 const TESTCASE_URI = TEST_BASE + "four.html";
 
 let gUI;
 
 function test()
 {
   waitForExplicitFinish();
 

--- a/browser/devtools/styleinspector/test/browser_computedview_style-editor-link.js
+++ b/browser/devtools/styleinspector/test/browser_computedview_style-editor-link.js
@@ -1,14 +1,21 @@
 /* vim: set ft=javascript ts=2 et sw=2 tw=80: */
 /* Any copyright is dedicated to the Public Domain.
  http://creativecommons.org/publicdomain/zero/1.0/ */
 
 "use strict";
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed. 
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("Error: Unknown sheet source");
+
 // Test the links from the computed view to the style editor
 
 const STYLESHEET_URL = "data:text/css,"+encodeURIComponent(
   [".highlight {",
    "color: blue",
    "}"].join("\n"));
 
 const DOCUMENT_URL = "data:text/html;charset=utf-8,"+encodeURIComponent(

--- a/browser/devtools/styleinspector/test/browser_ruleview_style-editor-link.js
+++ b/browser/devtools/styleinspector/test/browser_ruleview_style-editor-link.js
@@ -1,14 +1,21 @@
 /* vim: set ft=javascript ts=2 et sw=2 tw=80: */
 /* Any copyright is dedicated to the Public Domain.
  http://creativecommons.org/publicdomain/zero/1.0/ */
 
 "use strict";
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed. 
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("Error: Unknown sheet source");
+
 // Test the links from the rule-view to the styleeditor
 
 const STYLESHEET_URL = "data:text/css,"+encodeURIComponent(
   ["#first {",
    "color: blue",
    "}"].join("\n"));
 
 const EXTERNAL_STYLESHEET_FILE_NAME = "doc_style_editor_link.css";

--- a/browser/devtools/webaudioeditor/test/browser_wa_first-run.js
+++ b/browser/devtools/webaudioeditor/test/browser_wa_first-run.js
@@ -1,11 +1,18 @@
 /* Any copyright is dedicated to the Public Domain.
    http://creativecommons.org/publicdomain/zero/1.0/ */
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed. 
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("Error: Connection closed");
+
 /**
  * Tests that the reloading/onContentLoaded hooks work.
  */
 
 function spawnTest() {
   let { target, panel } = yield initWebAudioEditor(SIMPLE_CONTEXT_URL);
   let { gFront, $ } = panel.panelWin;
 

--- a/browser/devtools/webaudioeditor/test/browser_wa_reset-01.js
+++ b/browser/devtools/webaudioeditor/test/browser_wa_reset-01.js
@@ -1,11 +1,18 @@
 /* Any copyright is dedicated to the Public Domain.
    http://creativecommons.org/publicdomain/zero/1.0/ */
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed. 
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("Error: Connection closed");
+
 /**
  * Tests that reloading a tab will properly listen for the `start-context`
  * event and reshow the tools after reloading.
  */
 
 function spawnTest() {
   let { target, panel } = yield initWebAudioEditor(SIMPLE_CONTEXT_URL);
   let { gFront, $ } = panel.panelWin;

--- a/browser/devtools/webaudioeditor/test/browser_wa_reset-04.js
+++ b/browser/devtools/webaudioeditor/test/browser_wa_reset-04.js
@@ -1,11 +1,18 @@
 /* Any copyright is dedicated to the Public Domain.
    http://creativecommons.org/publicdomain/zero/1.0/ */
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed. 
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("Error: Connection closed");
+
 /**
  * Tests that switching to an iframe works fine.
  */
 
 function spawnTest() {
   Services.prefs.setBoolPref("devtools.command-button-frames.enabled", true);
 
   let { target, panel, toolbox } = yield initWebAudioEditor(IFRAME_CONTEXT_URL);

--- a/browser/devtools/webconsole/test/browser_result_format_as_string.js
+++ b/browser/devtools/webconsole/test/browser_result_format_as_string.js
@@ -1,12 +1,19 @@
 /* vim:set ts=2 sw=2 sts=2 et: */
 /* Any copyright is dedicated to the Public Domain.
  * http://creativecommons.org/publicdomain/zero/1.0/ */
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed. 
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("Error: Connection closed");
+
 // Make sure that JS eval result are properly formatted as strings.
 
 const TEST_URI = "http://example.com/browser/browser/devtools/webconsole/test/test-result-format-as-string.html";
 
 function test()
 {
   waitForExplicitFinish();
 

--- a/browser/devtools/webconsole/test/browser_webconsole_bug_632275_getters_document_width.js
+++ b/browser/devtools/webconsole/test/browser_webconsole_bug_632275_getters_document_width.js
@@ -1,11 +1,18 @@
 /* Any copyright is dedicated to the Public Domain.
    http://creativecommons.org/publicdomain/zero/1.0/ */
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed. 
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("Error: Connection closed");
+
 const TEST_URI = "http://example.com/browser/browser/devtools/webconsole/test/test-bug-632275-getters.html";
 
 let getterValue = null;
 
 function test() {
   addTab(TEST_URI);
   browser.addEventListener("load", function onLoad() {
     browser.removeEventListener("load", onLoad, true);

--- a/browser/devtools/webconsole/test/browser_webconsole_bug_653531_highlighter_console_helper.js
+++ b/browser/devtools/webconsole/test/browser_webconsole_bug_653531_highlighter_console_helper.js
@@ -1,13 +1,20 @@
 /* vim: set ft=javascript ts=2 et sw=2 tw=80: */
 /* This Source Code Form is subject to the terms of the Mozilla Public
  * License, v. 2.0. If a copy of the MPL was not distributed with this
  * file, You can obtain one at http://mozilla.org/MPL/2.0/. */
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed. 
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("Protocol error (unknownError): TypeError: this.conn.getActor(...) is null");
+
 // Tests that the $0 console helper works as intended.
 
 let inspector, h1;
 
 function createDocument() {
   let doc = content.document;
   let div = doc.createElement("div");
   h1 = doc.createElement("h1");

--- a/browser/devtools/webconsole/test/browser_webconsole_output_01.js
+++ b/browser/devtools/webconsole/test/browser_webconsole_output_01.js
@@ -1,13 +1,20 @@
 /*
  * Any copyright is dedicated to the Public Domain.
  * http://creativecommons.org/publicdomain/zero/1.0/
  */
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed.
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("null");
+
 // Test the webconsole output for various types of objects.
 
 const TEST_URI = "data:text/html;charset=utf8,test for console output - 01";
 
 let {DebuggerServer} = Cu.import("resource://gre/modules/devtools/dbg-server.jsm", {});
 
 let LONG_STRING_LENGTH = DebuggerServer.LONG_STRING_LENGTH;
 let LONG_STRING_INITIAL_LENGTH = DebuggerServer.LONG_STRING_INITIAL_LENGTH;

--- a/browser/devtools/webconsole/test/browser_webconsole_output_03.js
+++ b/browser/devtools/webconsole/test/browser_webconsole_output_03.js
@@ -1,13 +1,20 @@
 /*
  * Any copyright is dedicated to the Public Domain.
  * http://creativecommons.org/publicdomain/zero/1.0/
  */
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed. 
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("Protocol error (unknownError): TypeError: this.conn.getActor(...) is null");
+
 // Test the webconsole output for various types of objects.
 
 const TEST_URI = "http://example.com/browser/browser/devtools/webconsole/test/test-console-output-03.html";
 
 let inputTests = [
 
   // 0
   {

--- a/browser/devtools/webconsole/test/browser_webconsole_output_04.js
+++ b/browser/devtools/webconsole/test/browser_webconsole_output_04.js
@@ -1,13 +1,20 @@
 /*
  * Any copyright is dedicated to the Public Domain.
  * http://creativecommons.org/publicdomain/zero/1.0/
  */
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed.
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("null");
+
 // Test the webconsole output for various types of objects.
 
 const TEST_URI = "http://example.com/browser/browser/devtools/webconsole/test/test-console-output-04.html";
 
 let inputTests = [
   // 0
   {
     input: "testTextNode()",

--- a/browser/devtools/webconsole/test/browser_webconsole_output_dom_elements_01.js
+++ b/browser/devtools/webconsole/test/browser_webconsole_output_dom_elements_01.js
@@ -1,13 +1,21 @@
 /*
  * Any copyright is dedicated to the Public Domain.
  * http://creativecommons.org/publicdomain/zero/1.0/
  */
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejections should be fixed.
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed(null);
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("TypeError: this.toolbox is null");
+
 // Test the webconsole output for various types of DOM Nodes.
 
 const TEST_URI = "http://example.com/browser/browser/devtools/webconsole/test/test-console-output-dom-elements.html";
 
 let inputTests = [
   {
     input: "testBodyNode()",
     output: '<body id="body-id" class="body-class">',

--- a/browser/devtools/webconsole/test/browser_webconsole_output_events.js
+++ b/browser/devtools/webconsole/test/browser_webconsole_output_events.js
@@ -1,13 +1,20 @@
 /*
  * Any copyright is dedicated to the Public Domain.
  * http://creativecommons.org/publicdomain/zero/1.0/
  */
 
+///////////////////
+//
+// Whitelisting this test.
+// As part of bug 1077403, the leaking uncaught rejection should be fixed.
+//
+thisTestLeaksUncaughtRejectionsAndShouldBeFixed("null");
+
 // Test the webconsole output for DOM events.
 
 const TEST_URI = "http://example.com/browser/browser/devtools/webconsole/test/test-console-output-events.html";
 
 function test() {
   addTab(TEST_URI);
   browser.addEventListener("load", function onLoad() {
     browser.removeEventListener("load", onLoad, true);