Is there a possibility of seeing Clint Dempsey in a Liverpool kit?

With Roy Hodgson on the move to Liverpool and Dempsey closing his chapter with Fulham, is there a possibility of Clint Dempsey moving to Liverpool? He's not expensive at all, he's got some good foot-skill, he can head a corner in and not to mention, he's versatile (He can play on the wing, in the center or as a striker). And finally, the position of right winger is up in the air. So if you think about it, Dempsey at LFC can work...