“I enjoyed watching some of you with your eyes on higher office size up the drapes — and each other,” Obama told state leaders.
“I'm sure some of you are thinking that's been the plan all along,” Obama had said.
Wisconsin Gov. Scott Walker, a Republican, is seen as a potential heavyweight if he decides to jump in the race for the GOP nomination.
Fellow Gov. Deval Patrick, D-Mass., said in an interview with Politico that he was opening to weighing a 2016 bid.
White House correspondent Susan Crabtree contributed.