"So that rules out Marco Rubio, it rules out Ted Cruz, it rules out Rand Paul," said ABC's Jonathan Karl.
Walker responded, "All good guys, but it's got to be somebody who is viewed as being exceptionally remote from Washington."
What about home state Rep. Paul Ryan (R-Wis.)?
"I love Paul Ryan. Paul Ryan, if he had a fan club, I'd be the president of that," said Walker.
Walker is himself a potential 2016 White House contender. He declined to rule out the possibility on Sunday. First, though, he faces reelection in 2014. Asked whether he would commit to serving out a second term as governor, Walker said he has never made such a commitment.
"To me it's not about the time you serve in office, I feel right now, my calling is to be the governor in the state of Wisconsin. That's where I'm called to," said Walker.