Created Issue: ListSearchExtender issue with Chrome [27319]

I try to extend a DropDownList with a ListSearchExtender.
Everything is ok with IE, but there is an issue when it comes to Chrome.

I'm not able to type anything when the dropdownlist is focused and open. I have to click two times on the dropdownlist (one time to open it and the second time to close it while beeing focused) or to select it with the TAB key and then I can type something to search.