By Brooke Brower

In a rare television interview, former Florida Gov. Charlie Crist, who left the Republican Party during his unsuccessful 2010 U.S. Senate bid, told Chuck Todd on "The Daily Rundown" that he'd consider voting for President Obama in November.

“Consider? Sure, I would consider that,” said Crist. “I really think he’s sincere and genuine. I think we have a lot time, a lot of issues to talk about, but I think, in his heart, he’s trying to do what’s right for the country overall.”

Now a registered Independent, Crist also wouldn't rule out running for office as a Democrat himself in the future.

“I wouldn’t definitively rule out anything,” the former governor said.

In recent days, Newt Gingrich has invoked Crist's name to criticize Mitt Romney, noting that a number of former Crist staffers and supporters are now backing Romney's presidential bid.

Asked if Gingrich’s attack was good Republican primary politics, Crist said, “I really don’t know.”

Since leaving office as governor in 2011, Crist has worked in the private sector as an attorney with the law firm Morgan & Morgan, even appearing in a television ad for the firm.