--- a/devtools/client/webconsole/new-console-output/test/mochitest/browser.ini
+++ b/devtools/client/webconsole/new-console-output/test/mochitest/browser.ini
@@ -331,18 +331,16 @@ subsuite = clipboard
 [browser_webconsole_output_order.js]
 [browser_webconsole_persist.js]
 [browser_webconsole_reopen_closed_tab.js]
 [browser_webconsole_repeat_different_objects.js]
 [browser_webconsole_repeated_messages_accuracy.js]
 skip-if = true #	Bug 1403450
 [browser_webconsole_sandbox_update_after_navigation.js]
 [browser_webconsole_script_errordoc_urls.js]
-skip-if = true #	Bug 1403454
-# old console skip-if = e10s # Bug 1042253 - webconsole tests disabled with e10s
 [browser_webconsole_scroll.js]
 [browser_webconsole_select_all.js]
 [browser_webconsole_show_subresource_security_errors.js]
 [browser_webconsole_shows_reqs_in_netmonitor.js]
 [browser_webconsole_sourcemap_css.js]
 [browser_webconsole_sourcemap_error.js]
 [browser_webconsole_sourcemap_invalid.js]
 [browser_webconsole_sourcemap_nosource.js]

--- a/devtools/client/webconsole/new-console-output/test/mochitest/browser_webconsole_script_errordoc_urls.js
+++ b/devtools/client/webconsole/new-console-output/test/mochitest/browser_webconsole_script_errordoc_urls.js
@@ -1,67 +1,72 @@
 /* -*- indent-tabs-mode: nil; js-indent-level: 2 -*- */
 /* 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/ */
 
+/* import-globals-from head.js */
+
 // Ensure that [Learn More] links appear alongside any errors listed
 // in "errordocs.js". Note: this only tests script execution.
 
 "use strict";
 
 const ErrorDocs = require("devtools/server/actors/errordocs");
+const TEST_URI = "data:text/html;charset=utf8,errordoc tests";
 
 function makeURIData(script) {
   return `data:text/html;charset=utf8,<script>${script}</script>`;
 }
 
 const TestData = [
   {
     jsmsg: "JSMSG_READ_ONLY",
     script: "'use strict'; (Object.freeze({name: 'Elsa', score: 157})).score = 0;",
     isException: true,
+    expected: 'TypeError: "score" is read-only',
   },
   {
     jsmsg: "JSMSG_STMT_AFTER_RETURN",
     script: "function a() { return; 1 + 1; };",
     isException: false,
+    expected: "unreachable code after return statement",
   }
 ];
 
-add_task(function* () {
-  yield loadTab("data:text/html;charset=utf8,errordoc tests");
+add_task(async function () {
+  let hud = await openNewTabAndConsole(TEST_URI);
 
-  let hud = yield openConsole();
-
-  for (let i = 0; i < TestData.length; i++) {
-    yield testScriptError(hud, TestData[i]);
+  for (let data of TestData) {
+    await testScriptError(hud, data);
   }
 });
 
-function* testScriptError(hud, testData) {
-  if (testData.isException === true) {
+async function testScriptError(hud, testData) {
+  let isE10s = Services.appinfo.browserTabsRemoteAutostart;
+  if (testData.isException && !isE10s) {
     expectUncaughtException();
   }
 
-  BrowserTestUtils.loadURI(gBrowser.selectedBrowser, makeURIData(testData.script));
+  await loadDocument(makeURIData(testData.script));
+
+  let msg = "the expected error message was displayed";
+  info(`waiting for ${msg} to be displayed`);
+  await waitFor(() => findMessage(hud, testData.expected));
+  ok(true, msg);
 
-  yield waitForMessages({
-    webconsole: hud,
-    messages: [
-      {
-        category: CATEGORY_JS
-      }
-    ]
-  });
+  // grab the most current error doc URL.
+  let urlObj = new URL(ErrorDocs.GetURL({ errorMessageName: testData.jsmsg }));
+
+  // strip all params from the URL.
+  let url = `${urlObj.origin}${urlObj.pathname}`;
 
-  // grab the most current error doc URL
-  let url = ErrorDocs.GetURL({ errorMessageName: testData.jsmsg });
-
-  let hrefs = {};
-  for (let link of hud.jsterm.outputNode.querySelectorAll("a")) {
-    hrefs[link.href] = true;
+  // Gather all URLs displayed in the console. [Learn More] links have no href
+  // but have the URL in the title attribute.
+  let hrefs = new Set();
+  for (let link of hud.ui.outputNode.querySelectorAll("a")) {
+    hrefs.add(link.title);
   }
 
-  ok(url in hrefs, `Expected a link to ${url}.`);
+  ok(hrefs.has(url), `Expected a link to ${url}.`);
 
   hud.jsterm.clearOutput();
 }