Private messages - show username in the browser tab

We had a suggestion from one of our superusers to show the name of the user whose PM's you are currently looking at in the tab on the browser.

He mentioned that it just says: Ask your question

He said if he's chatting to more than one it's a pain having to try and find the right tab each time.

Do we know if this is possible? Seems like a fair suggestion and less generic....!