Tina Fey has been making her 30 Rock promo rounds (the season premiere airs tomorrow) and appeared on Conan last night, where the first segment was all about that other show: SNL. (She says her recent stints at her old gig have been akin to "moving back in with your parents.")

Unsurprisingly, it turns out some of the best parts of Sarah Palin's appearance on the show happened off-camera; Fey talks about meeting her, and what had to have been the awkward offering-up of Bristol Palin to babysit her 3-year-old that night. Fey comments, "That's exactly what 17-year-old Bristol Palin wants to do at SNL, is babysit the toddler of the lady that goofs on her mom." Check out the second segment after the jump, for 30 Rock chatter and what it's like to hug Oprah (spoiler: it's like "going to a spa for a week").