Rudy Giuliani Says He's 'More Likely' To Run In 2012 If Sarah Palin Does: 'I Can Show A Contrast'

Former New York City Mayor Rudy Giuliani gave a little more insight Friday into his calculations regarding a second run at the presidency in 2012, saying he'd be more likely the enter the race if Sarah Palin did, too.

"The more Republicans in which I can show a contrast, probably the better chance, the better chance that I have," Giuliani told CNN's Piers Morgan in an interview set to air Monday at 9 p.m.

"'My one chance, if I have a chance, is that I'm considered a moderate," Giuliani added, according to a tweet from Morgan, suggesting that Palin's less compromising conservatism might turn off some Republicans looking for a more centrist presidential candidate.

CNN offers a preview of the interview:

But if he does run, Giuliani says he would concentrate on winning Iowa, New Hampshire and South Carolina, sites of the first presidential nominating contests. In 2008 Giuliani focused his resources in Florida, a strategy that that led to the demise of his run after he finished third in the state's primary.

On Thursday, Giuliani told CNBC's Larry Kudlow that the door was "absolutely" open to another shot at the White House in 2012.

"I will take a look at 2012. It's really a question of, can I play a useful role? Would I have a chance of getting the nomination?" Giuliani said. "Those are things that I'll have to evaluate as the year goes along."

WATCH Giuliani on CNN: