No couch jumping to be found here. Rather, Alec Baldwin stayed put in his seat during his visit to The Late Show with David Letterman (well, before he tossed around a pig skin with Dave and football legend Joe Namath), to properly introduce his girlfriend, 27-year-old yoga instructor Hilaria Thomas. (Now before we all go getting upset about their 26-year age difference, just remember this. There. Better?)

After delving into talk that he's contemplating running for mayor of New York City, Baldwin — who joked "I would like to be the mayor, I don't know if I want to run for mayor" — said his 30 Rock schedule and personal life could alter that. "I've got a woman in my life now. My girlfriend, who is very important to me," he said. Baldwin later introduced Thomas, who waved shyly from the green room. Watch the clip with highlights from the interview, including when Baldwin explains how he plans to spend his 30 Rock money on Thomas (guess we know what that "fantasy" was all about now), below.

Are you still hopeful that Alec Baldwin will run for mayor of New York City? What would Liz Lemon have to say about Hilaria? Share in the comments section below!

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