"Oh, absolutely! He's very hands-on," girlfriend Oksana Grigorieva tells Britain's Hello! magazine. "He has been very doting and nurturing."
The real surprise, Grigorieva, 39, says, it that baby Lucia Anne – named after her and Gibson's grandmothers – arrived a month early, forcing Gibson, 53, to jet back to L.A. from his New York movie set. Now the infant, who was 6 lbs. at birth, is gaining weight fast and on track to become a polyglot.
"I'm speaking Russian and English and singing lullabies in both," says Grigorieva. "She has been an inspiration already. I'm composing a children's song book."