Tooltip: Remains open when switching between dialogs

I am thinking the focus out event should be triggered in this situation.

Here is a jsFiddle that shows the issue: http://jsfiddle.net/dwaddell/uFR98/

Steps to reproduce:

1. Stagger the dialogs a little bit

2. Select a dialog and hit the tab key until the tooltip is displayed

3. Click on the other dialog and notice the tooltip from the originally focused dialog is still displayed

Here is a short video that shows the issue when the steps to reproduce are performed: https://dl.dropboxusercontent.com/u/5126043/ScreenCapture_5-10-2013%202.16.30%20PM.wmv

I am using jQuery 1.10.3. I noticed this in Firefox and Internet Explorer. It seems fine in Chrome. I did not test any other browser.

Please let me know if there is anything additional I can do or if there is some limitation to tooltips in dialogs that I am unaware of.