Jesse Williams Welcomes Daughter Sadie

01/12/2014 at 11:30 PM ET

Jesse Williams Welcomes Daughter Sadie Tiffany Rose/WireImage

It’s true — Jesse Williams is officially on daddy duty.

He and wife Aryn Drake-Lee, 34, a real estate broker, welcomed daughter Sadie in December, the Grey’s Anatomy star confirmed to PEOPLE Sunday at the Golden Globes.

Attending the show as a member of Lee Daniels’ The Butler cast, Williams, 32, says although he’s only “four or five weeks” in, fatherhood thus far is “amazing.”

“It’s hard to describe. It’s wonderful — a new discovery every day. It’s great and I’m loving it,” the actor tells PEOPLE, admitting that he’s a bit sleep-deprived.

“Not getting too much sleep … I’m just trying to put together three solid hours of cogent communication!”

– Sarah Michaud with reporting by Jennifer Garcia and Aili Nahas

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