diff --git a/accessible/tests/browser/events/browser.ini b/accessible/tests/browser/events/browser.ini
index 3ba2417a22f8..c0ab92489026 100644
--- a/accessible/tests/browser/events/browser.ini
+++ b/accessible/tests/browser/events/browser.ini
@@ -7,5 +7,6 @@ support-files =
 
 [browser_test_docload.js]
 skip-if = e10s
+[browser_test_textcaret.js]
 [browser_test_focus_browserui.js]
 [browser_test_focus_dialog.js]
diff --git a/accessible/tests/browser/events/browser_test_textcaret.js b/accessible/tests/browser/events/browser_test_textcaret.js
new file mode 100644
index 000000000000..ff22b7241067
--- /dev/null
+++ b/accessible/tests/browser/events/browser_test_textcaret.js
@@ -0,0 +1,43 @@
+/* Any copyright is dedicated to the Public Domain.
+ * http://creativecommons.org/publicdomain/zero/1.0/ */
+
+"use strict";
+
+/**
+ * Caret move events checker.
+ */
+function caretMoveChecker(target, caretOffset) {
+  return function(event) {
+    let cmEvent = event.QueryInterface(nsIAccessibleCaretMoveEvent);
+    return cmEvent.accessible == getAccessible(target) && cmEvent.caretOffset == caretOffset;
+  };
+}
+
+async function checkURLBarCaretEvents() {
+  let url = "about:mozilla";
+  let newWin = await BrowserTestUtils.openNewBrowserWindow({ url });
+
+  let urlbarInputEl = newWin.document.getElementById("urlbar").inputField;
+  let urlbarInput = getAccessible(urlbarInputEl, [ nsIAccessibleText ]);
+
+  let onCaretMove = waitForEvents([
+    [ EVENT_TEXT_CARET_MOVED, caretMoveChecker(urlbarInput, url.length) ],
+    [ EVENT_FOCUS, urlbarInput ]
+  ]);
+
+  urlbarInput.caretOffset = -1;
+  await onCaretMove;
+  ok(true, "Caret move in URL bar #1");
+
+  onCaretMove = waitForEvent(
+    EVENT_TEXT_CARET_MOVED, caretMoveChecker(urlbarInput, 0)
+  );
+
+  urlbarInput.caretOffset = 0;
+  await onCaretMove;
+  ok(true, "Caret move in URL bar #2");
+
+  await BrowserTestUtils.closeWindow(newWin);
+}
+
+add_task(checkURLBarCaretEvents);
diff --git a/accessible/tests/mochitest/textcaret/a11y.ini b/accessible/tests/mochitest/textcaret/a11y.ini
index 22d09751db3a..6e2e4ef8d770 100644
--- a/accessible/tests/mochitest/textcaret/a11y.ini
+++ b/accessible/tests/mochitest/textcaret/a11y.ini
@@ -2,5 +2,4 @@
 support-files =
   !/accessible/tests/mochitest/*.js
 
-[test_browserui.xul]
 [test_general.html]
diff --git a/accessible/tests/mochitest/textcaret/test_browserui.xul b/accessible/tests/mochitest/textcaret/test_browserui.xul
deleted file mode 100644
index 2462100ee014..000000000000
--- a/accessible/tests/mochitest/textcaret/test_browserui.xul
+++ /dev/null
@@ -1,67 +0,0 @@
-<?xml version="1.0"?>
-<?xml-stylesheet href="chrome://global/skin" type="text/css"?>
-<?xml-stylesheet href="chrome://mochikit/content/tests/SimpleTest/test.css"
-                 type="text/css"?>
-
-<window xmlns="http://www.mozilla.org/keymaster/gatekeeper/there.is.only.xul"
-        title="Accessibility Caret Offset Test.">
-
-  <script type="application/javascript"
-          src="chrome://mochikit/content/tests/SimpleTest/SimpleTest.js" />
-  <script type="application/javascript"
-          src="chrome://mochikit/content/tests/SimpleTest/EventUtils.js"></script>
-
-  <script type="application/javascript"
-          src="../common.js"></script>
-  <script type="application/javascript"
-          src="../role.js"></script>
-  <script type="application/javascript"
-          src="../states.js"></script>
-  <script type="application/javascript"
-          src="../events.js"></script>
-  <script type="application/javascript"
-          src="../browser.js"></script>
-
-  <script type="application/javascript">
-  <![CDATA[
-
-    ////////////////////////////////////////////////////////////////////////////
-    // Tests
-
-    gA11yEventDumpToConsole = true; // debug
-    //enableLogging("tree,verbose");
-
-    var gQueue = null;
-    function doTests()
-    {
-      gQueue = new eventQueue();
-      gQueue.push(new setCaretOffset(urlbarInput(), -1, urlbarInput()));
-      gQueue.push(new setCaretOffset(urlbarInput(), 0));
-      gQueue.onFinish = function()
-      {
-        closeBrowserWindow();
-      }
-
-      gQueue.invoke();
-    }
-
-    SimpleTest.waitForExplicitFinish();
-    openBrowserWindow(doTests, "about:mozilla");
-  ]]>
-  </script>
-
-  <vbox flex="1" style="overflow: auto;">
-  <body xmlns="http://www.w3.org/1999/xhtml">
-    <a target="_blank"
-       href="https://bugzilla.mozilla.org/show_bug.cgi?id=723833"
-       title="IAccessibleText::setCaretOffset on location or search bar causes focus to jump">
-      Bug 723833
-    </a>
-    <p id="display"></p>
-    <div id="content" style="display: none">
-    </div>
-    <pre id="test">
-    </pre>
-  </body>
-  </vbox>
-</window>
diff --git a/testing/mochitest/BrowserTestUtils/BrowserTestUtils.jsm b/testing/mochitest/BrowserTestUtils/BrowserTestUtils.jsm
index c89d32ae5754..75795e9f7ba0 100644
--- a/testing/mochitest/BrowserTestUtils/BrowserTestUtils.jsm
+++ b/testing/mochitest/BrowserTestUtils/BrowserTestUtils.jsm
@@ -700,6 +700,10 @@ var BrowserTestUtils = {
       features += `,${remoteState}`;
     }
 
+    if (options.url) {
+      argString.data = options.url;
+    }
+
     let win = Services.ww.openWindow(
       opener, Services.prefs.getCharPref("browser.chromeURL"), "_blank",
       features, argString);