And Paul said he personally was "surprised" when the Drudge Report reported Thursday that Rice was a frontrunner.

“I was really surprised. I would be pretty amazed if she were to be picked," Paul said. "I can understand philosophically why she might because even though she talked along with Bush in the year 2000 about a humble foreign policy and no nation building, it didn’t turn out that way, so she would fit the bill for him, but it wouldn’t help the Ron Paul supporters because they would like a different foreign policy.”

Paul's brand of foreign policy, which prescribes a more isolationist approach, is one of his major divergences from Republican party orthodoxy. The Texas lawmaker was criticized frequently for his stance on the issue during the Republican debates.