Newt Gingrich, Snooki bond on Leno

Newt Gingrich, left, and Nicole "Snooki" Polizzi on NBC's "Tonight Show with Jay Leno."
Newt Gingrich, left, and Nicole "Snooki" Polizzi on NBC's "Tonight Show with Jay Leno."

Updated: 1:49 p.m. ET

(CBS News) Newt Gingrich may not be considering a career in reality television - at least, not that he's mentioned - but the former Republican presidential candidate says he wouldn't mind stopping by the "Jersey Shore" house to hang out sometime.

"That'd be awesome. You could drink 'Ron-Ron' juice," said Nicole "Snooki" Polizzi, the author and "Jersey Shore" star, who appeared after Gingrich on Wednesday night's episode of NBC's "Tonight Show with Jay Leno."

The two outspoken personalities may not have much in common, but, according to Snooki, she looks up to the former speaker.

"I'm trying to be like you," she quipped, when Gingrich congratulated her for becoming a bestselling author.

Indeed, Gingrich appears to have made an impression on the television personality: Thursday afternoon, she tweeted at him: "@newtgingrich Miss Yewwww and your sexy wife! MWAH," she wrote.

Before Snooki made her way onstage, Gingrich shared his thoughts about Mitt Romney's potential vice presidential pick.

Asked if he thought Romney would make "kind of a wild out of the box left field choice," Gingrich expressed his doubts.

"OK, given everything we know about Mitt Romney, do I think he will make a wild outside the box [choice?]" Gingrich asked, laughing. "No, I don't think he will."

He also said he didn't expect to be getting any offers of that nature himself.

"I would be very flattered and I'd think he'd lost his mind," Gingrich said, when pressed if he thought there was a possibility Romney would ask him to be his running mate.

Would he turn the job down, though?

"I'd have to talk to Callista," Gingrich said, referring to his wife.