04/22/2012 09:54 am ET Updated Apr 22, 2012

Marco Rubio, Mitch Daniels Coy About Veepstakes

WASHINGTON -- Potential Republican vice presidential candidates Mitch Daniels and Marco Rubio on Sunday declined to speculate about whom GOP presidential hopeful Mitt Romney might pick for his running mate.

"Fox News Sunday" host Chris Wallace asked Daniels, who is the governor of Indiana, if his wife and daughters would feel better about his running for vice president than they felt about his running for president, which he had declined to do last year.

"We haven't had the conversation and I don't expect to have it. A lot went into that decision not to run -- very specifically that I promised the people of my state eight full years," Daniels said. "This is a hypothetical question and it will probably stay that way."

Undaunted, Wallace asked Daniels if he would agree to running for vice president if the Romney camp asked him.

"I would demand reconsideration and send Mr. Romney a list of people I think could suit better," Daniels said.

But he wouldn't say who would be a good choice. "I've seen a lot of names and I like them all. I don't want to ruin anybody's chances this morning by singling him or her out," Daniels said. "He's got a wide range of people to pick from. I have full confidence he'll pick the best one."

Florida Sen. Marco Rubio, a Tea Party favorite, also declined to dish about the veepstakes on CNN's "State of the Union."

"The last thing he [Romney] needs are those of us in the peanut gallery to be saying what we would or would not do," Rubio said. "I'm not going to discuss it any more. Because now there's a real process in place, and I want to be respectful of the process that he's working on."