02/25/2014 AT 1:00 PM ET
She’s a New York native – and she’s about to make her “live from New York” debut.
“Thank you for the SNL love,” Dunham Tweeted Tuesday. “Can’t wait to debut my character ‘girl who googled serial killers all night & has lots to say!’ ”
No word yet on whether Dunham, 27, will lampoon Girls on the long-running sketch-comedy program. But if she does, it wouldn’t be the first time SNL has poked fun at Dunham’s hit HBO show, which follows the lives of four young New York women trying to find their place in the world.
In SNL’s 39th season opener in September, it ran a parody of the show that featured then-host Tina Fey as Blerta, the girl from Albania with a rubber hand and OCD – Old Cow Disease – who joins the decidedly trendier core four.
“Very excited about the current lineup of SNL ladies. They are funny like whoa,” Dunham wrote.