diff --git a/Libraries/Interaction/__tests__/InteractionManager-test.js b/Libraries/Interaction/__tests__/InteractionManager-test.js
index 4e11d7f32..e55fe7104 100644
--- a/Libraries/Interaction/__tests__/InteractionManager-test.js
+++ b/Libraries/Interaction/__tests__/InteractionManager-test.js
@@ -163,6 +163,7 @@ describe('promise tasks', () => {
   }
   beforeEach(() => {
     jest.resetModules();
+    jest.useFakeTimers();
     InteractionManager = require('InteractionManager');
     BatchedBridge = require('BatchedBridge');
     sequenceId = 0;
@@ -255,7 +256,9 @@ describe('promise tasks', () => {
     expectToBeCalledOnce(task2);
   });
 
-  const bigAsyncTest = () => {
+  const bigAsyncTest = (resolve) => {
+    jest.useRealTimers();
+
     const task1 = createSequenceTask(1);
     const task2 = jest.fn(() => {
       expect(++sequenceId).toBe(2);
@@ -281,27 +284,25 @@ describe('promise tasks', () => {
     InteractionManager.runAfterInteractions({gen: task2, name: 'gen2'});
     InteractionManager.runAfterInteractions(task6);
 
-    jest.runAllTimers();
-    // runAllTimers doesn't actually run all timers with nested timer functions
-    // inside Promises, so we have to call it extra times.
-    jest.runAllTimers();
-    jest.runAllTimers();
+    setTimeout(() => {
+      expectToBeCalledOnce(task1);
+      expectToBeCalledOnce(task2);
+      expectToBeCalledOnce(task3);
+      expectToBeCalledOnce(task4);
+      expectToBeCalledOnce(task5);
+      expectToBeCalledOnce(task6);
 
-    expectToBeCalledOnce(task1);
-    expectToBeCalledOnce(task2);
-    expectToBeCalledOnce(task3);
-    expectToBeCalledOnce(task4);
-    expectToBeCalledOnce(task5);
-    expectToBeCalledOnce(task6);
+      resolve();
+    }, 100);
   };
 
   it('resolves async tasks recusively before other queued tasks', () => {
-    bigAsyncTest();
+    return new Promise(bigAsyncTest);
   });
 
   it('should also work with a deadline', () => {
     InteractionManager.setDeadline(100);
     BatchedBridge.getEventLoopRunningTime.mockReturnValue(200);
-    bigAsyncTest();
+    return new Promise(bigAsyncTest);
   });
 });
diff --git a/Libraries/Interaction/__tests__/TaskQueue-test.js b/Libraries/Interaction/__tests__/TaskQueue-test.js
index 717668a4b..c9c12100d 100644
--- a/Libraries/Interaction/__tests__/TaskQueue-test.js
+++ b/Libraries/Interaction/__tests__/TaskQueue-test.js
@@ -10,6 +10,8 @@
 
 'use strict';
 
+const Promise = require('promise');
+
 function expectToBeCalledOnce(fn) {
   expect(fn.mock.calls.length).toBe(1);
 }
diff --git a/package.json b/package.json
index aaddf911f..a2be95485 100644
--- a/package.json
+++ b/package.json
@@ -227,9 +227,9 @@
     "eslint-plugin-flowtype": "^2.33.0",
     "eslint-plugin-react": "^7.0.1",
     "flow-bin": "^0.47.0",
-    "jest": "19.0.2",
-    "jest-repl": "19.0.2",
-    "jest-runtime": "^19.0.3",
+    "jest": "^20.0.4",
+    "jest-repl": "^20.0.4",
+    "jest-runtime": "^20.0.4",
     "mock-fs": "^4.3.0",
     "react": "16.0.0-alpha.12",
     "react-test-renderer": "16.0.0-alpha.12",