Lindsay Lohan may be busy filming a spot on Anger Management and figuring out where she wants to go to rehab, but she's still got plenty of time to party ... and hang with her promoter/City of the Sun musician beau Avi Snow!

After Avi's concert on Tuesday night at the Bootleg Theater, he couldn't help but gush about his new lady love. "She's really awesome, and she's a lot of fun," Snow told E! News. "I would definitely call her one of our biggest supporters." Snow wouldn't say whether the two were dating, but seeing as they were photographed kissing last weekend in Santa Monica, it's safe to assume that they're in some sort of relationship!

Lilo and Snow have been seeing each other for a few weeks, and he was reportedly on her private flight from NYC to LAX last week. City of the Sun is releasing their debut album this spring, and the band plans to film the music video for their single "Hit The Ground Running" during their drive back to New York within the next week. Wonder if Lilo will be making any sort of a cameo?

And speaking of guest appearances, we have new deets on Lohan's role on Anger Management ... A source tells E! that when Lilo meets Sheen's character for the first time, she's wearing a cheerleader's uniform! Can't wait to see the first teaser for this!