Pin the search to the top of the Dope Sheet

When you search for something in the Dope Sheet and scroll down, the channels overlap the search bar and you can't see what you're typing.

Here you can't really see the search bar and the text in it. I want the search to be at the top, next to the timeline. Looks like this problem is unique to the Dope Sheet, I don't see this happening in NLA and Graph Editor, feel free to check for yourself.