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Chris Christie: Romney "might be able to convince me" to be VP

(CBS News) New Jersey Gov. Chris Christie on Monday reiterated his claim that he has no interest in serving as Mitt Romney's running mate in the presidential election, but he said he could be convinced otherwise.

"I really have no interest in being vice president, but if Gov. Romney called and asked me to sit down and talk to him about it, I'd listen because I think you owe the nominee, your party that level of respect -- and who knows what he's going to say?" Christie told students at a New Jersey high school, the New Jersey Star-Ledger reports. "He might be able to convince me, he's a convincing guy."

Still, Christie jokingly added, "Do I really look like the vice presidential type? Sitting behind him at the state of the union? I don't really think that's me."

The brash Republican governor -- the first Republican elected to lead New Jersey in 12 years -- is often listed as a for Romney.

On "CBS This Morning" Tuesday, Romney said he had no hints to give as to whom his running mate may be.

"I've got nothing for you," he said, noting that his trusted adviser Beth Myers is handling the VP vetting process. "If I do things right, no one's going to hear anything until I make an announcement," he said. "And I don't even know when that's going to be."