diff --git a/e2e/__tests__/watch_mode_no_access.test.js b/e2e/__tests__/watch_mode_no_access.test.js
new file mode 100644
index 000000000000..6d6a3038fe34
--- /dev/null
+++ b/e2e/__tests__/watch_mode_no_access.test.js
@@ -0,0 +1,77 @@
+/**
+ * Copyright (c) 2014-present, Facebook, Inc. All rights reserved.
+ *
+ * This source code is licensed under the MIT license found in the
+ * LICENSE file in the root directory of this source tree.
+ *
+ * @flow
+ */
+
+'use strict';
+
+import fs from 'fs';
+import os from 'os';
+import path from 'path';
+import {cleanup, writeFiles} from '../Utils';
+import {runContinuous} from '../runJest';
+
+const DIR = path.resolve(os.tmpdir(), 'watch_mode_no_access');
+
+const sleep = time => new Promise(resolve => setTimeout(resolve, time));
+
+beforeEach(() => cleanup(DIR));
+afterAll(() => cleanup(DIR));
+
+const setupFiles = () => {
+  writeFiles(DIR, {
+    '__tests__/foo.spec.js': `
+      const foo = require('../foo');
+      test('foo', () => { expect(typeof foo).toBe('number'); });
+    `,
+    'foo.js': `
+      module.exports = 0;
+    `,
+    'package.json': JSON.stringify({
+      jest: {},
+    }),
+  });
+};
+
+let testRun;
+
+afterEach(async () => {
+  if (testRun) {
+    await testRun.end();
+  }
+});
+
+test('does not re-run tests when only access time is modified', async () => {
+  setupFiles();
+
+  testRun = runContinuous(DIR, ['--watchAll', '--no-watchman']);
+
+  const testCompletedRE = /Ran all test suites./g;
+  const numberOfTestRuns = (stderr: string): number => {
+    const matches = stderr.match(testCompletedRE);
+    return matches ? matches.length : 0;
+  };
+
+  // First run
+  await testRun.waitUntil(({stderr}) => numberOfTestRuns(stderr) === 1);
+
+  // Should re-run the test
+  const modulePath = path.join(DIR, 'foo.js');
+  const stat = fs.lstatSync(modulePath);
+  fs.utimesSync(modulePath, stat.atime, stat.mtime);
+  await testRun.waitUntil(({stderr}) => numberOfTestRuns(stderr) === 2);
+
+  // Should NOT re-run the test
+  const fakeATime = 1541723621;
+  fs.utimesSync(modulePath, fakeATime, stat.mtime);
+  await sleep(3000);
+  expect(numberOfTestRuns(testRun.getCurrentOutput().stderr)).toBe(2);
+
+  // Should re-run the test
+  fs.writeFileSync(modulePath, 'module.exports = 1;', {encoding: 'utf-8'});
+  await testRun.waitUntil(({stderr}) => numberOfTestRuns(stderr) === 3);
+});