Mitt RomneyWillard (Mitt) Mitt RomneyRomney released from hospital after fall over the weekend Kinzinger: Trump just wants to 'stand in front of a crowd and be adored' Ex-Trump aide Pierson planning run for Congress MORE is "keeping the door open" for another Presidential bid, but "just not walking through it" yet, the former Massachusetts governor said Tuesday.

Campaigning for Sen. Bob Bennett (R-UT) in Salt Lake City, Romney told reporters that "it's too early to say" if he'll run for the White House again.

Romney did say, however, that he does not expect his Mormon faith to be a factor if he launches another campaign for the White House.

"I believe that religion will not be a factor of a significant nature in selecting our nominee, regardless of who might run," Romney told the Deseret News. "In my own case, I won evangelical votes in Michigan, in places like Florida