--- a/browser/base/content/test/alerts/head.js
+++ b/browser/base/content/test/alerts/head.js
@@ -1,21 +1,16 @@
 async function addNotificationPermission(originString) {
-  return new Promise(resolve => {
-    SpecialPowers.pushPermissions(
-      [
-        {
-          type: "desktop-notification",
-          allow: true,
-          context: originString,
-        },
-      ],
-      resolve
-    );
-  });
+  return SpecialPowers.pushPermissions([
+    {
+      type: "desktop-notification",
+      allow: true,
+      context: originString,
+    },
+  ]);
 }
 
 /**
  * Similar to `BrowserTestUtils.closeWindow`, but
  * doesn't call `window.close()`.
  */
 function promiseWindowClosed(window) {
   return new Promise(function(resolve) {

--- a/devtools/client/aboutdebugging/test/browser/resources/service-workers/push-sw.html
+++ b/devtools/client/aboutdebugging/test/browser/resources/service-workers/push-sw.html
@@ -8,20 +8,18 @@
 <script type="text/javascript">
 
 "use strict";
 
 let registration;
 let subscription;
 
 const registerServiceWorker = async function() {
-  await new Promise(resolve => {
-    const perm = { type: "desktop-notification", allow: true, context: document };
-    SpecialPowers.pushPermissions([perm], resolve);
-  });
+  const perm = { type: "desktop-notification", allow: true, context: document };
+  await SpecialPowers.pushPermissions([perm]);
 
   try {
     registration = await navigator.serviceWorker.register("push-sw.js");
     dump("Push service worker registered\n");
   } catch (e) {
     dump("Push service worker not registered: " + e + "\n");
   }
 };

--- a/dom/media/test/AutoplayTestUtils.js
+++ b/dom/media/test/AutoplayTestUtils.js
@@ -26,21 +26,16 @@ function log(msg) {
   var log_pane = document.body;
   log_pane.appendChild(document.createTextNode(msg));
   log_pane.appendChild(document.createElement("br"));
 }
 
 const autoplayPermission = "autoplay-media";
 
 async function pushAutoplayAllowedPermission() {
-  return new Promise((resolve, reject) => {
-    SpecialPowers.pushPermissions(
-      [
-        {
-          type: autoplayPermission,
-          allow: true,
-          context: document,
-        },
-      ],
-      resolve
-    );
-  });
+  return SpecialPowers.pushPermissions([
+    {
+      type: autoplayPermission,
+      allow: true,
+      context: document,
+    },
+  ]);
 }

--- a/dom/plugins/test/mochitest/test_bug1165981.html
+++ b/dom/plugins/test/mochitest/test_bug1165981.html
@@ -38,19 +38,17 @@
           obj.width = 200;
           obj.height = 200;
           document.body.appendChild(obj);
       }
 
       async function run() {
         ok(await SpecialPowers.setTestPluginEnabledState(SpecialPowers.Ci.nsIPluginTag.STATE_ENABLED, "Shockwave Flash"), "Should find allowed test flash plugin");
         ok(!await SpecialPowers.setTestPluginEnabledState(SpecialPowers.Ci.nsIPluginTag.STATE_ENABLED, "Third Test Plug-in"), "Should not find disallowed plugin");
-        await new Promise(resolve => {
-          SpecialPowers.pushPermissions([{type: "plugin:flash", allow: true, context: document}], resolve);
-        });
+        await SpecialPowers.pushPermissions([{type: "plugin:flash", allow: true, context: document}]);
 
         createNode("plugin-flash", "application/x-shockwave-flash-test");
         createNode("disallowedPlugin", "application/x-third-test");
         var pluginElement = document.getElementById("plugin-flash");
         is(pluginElement.identifierToStringTest("foo"), "foo", "Should be able to call a function provided by the plugin");
 
         pluginElement = document.getElementById("disallowedPlugin");
         is(typeof pluginElement.identifierToStringTest, "undefined", "Should NOT be able to call a function on a disallowed plugin");

--- a/dom/push/test/test_utils.js
+++ b/dom/push/test/test_utils.js
@@ -167,22 +167,19 @@ class MockWebSocket {
 SimpleTest.registerCleanupFunction(async function() {
   await new Promise(resolve => SpecialPowers.flushPermissions(resolve));
   await SpecialPowers.flushPrefEnv();
   await restorePushService();
   await teardownMockPushSocket();
 });
 
 function setPushPermission(allow) {
-  return new Promise(resolve => {
-    SpecialPowers.pushPermissions(
-      [{ type: "desktop-notification", allow, context: document }],
-      resolve
-    );
-  });
+  return SpecialPowers.pushPermissions([
+    { type: "desktop-notification", allow, context: document },
+  ]);
 }
 
 function setupPrefs() {
   return SpecialPowers.pushPrefEnv({
     set: [
       ["dom.push.enabled", true],
       ["dom.push.connection.enabled", true],
       ["dom.push.maxRecentMessageIDsPerSubscription", 0],