Texas Rep. Ron Paul declined to say Sunday whether he’d back Mitt Romney if the former Massachusetts governor wins the GOP presidential nod.

Rep. Ron Paul (R-Texas) talks with the press after a town hall meeting at the University of Maryland in College Park last week. (Photo by T.J. Kirkpatrick/Getty Images)

Paul’s answer stood in contrast to that of former House speaker Newt Gingrich who told Schieffer in an interview ahead of Paul’s that he would back any of the three other GOP presidential hopefuls over President Obama in the fall.

“I'd talk to him and see what kind of a foreign policy he is going to have," Paul told reporters in Columbia, Mo., last month, according to the Associated Press. "Mitt's a friend and we talk a lot. We just disagree on the issues."

The cordial relationship between Paul and Romney on the campaign trail has led to some speculation in recent weeks that the two might work out an arrangement in which the Texas congressman would serve as Romney’s running mate.

But Paul on Sunday tamped down on the idea.

“I don’t see how that would happen,” Paul said.” There’s too many disagreements.”

Schieffer asked Paul, who has yet to win a primary or caucus, whether he intends to keep “hanging around” in the GOP race.

“Obviously, yes.. . . Who knows what will happen on the first vote at the convention?” he said.

Paul noted that his rallies typically draw thousands of college students and that he is intent on communicating to them his message of limited government and scaled-back U.S. involvement abroad.

“I think we represent the future. The other candidates represent the past. The president represents the past,” he said.