"You know, you're more mellow," the actor, 54, said on The Jay Leno Show Tuesday. "There's shortcuts, I guess. Earplugs, you know!"
When Leno asked, "Are you getting up at night, are you doing the whole deal?" Gibson replied, "I will be honest, I would say that her mother does the lion's share of that work, but you know, I support her."
There's been another change since his girlfriend Oksana Grigorieva gave birth to a girl in November: Gibson gave up his 45-year-long smoking habit.
"It's been 18 days," the star of the new film Edge of Darkness says. "You know, it's not funny. I mean, serious, you bury some serious anger. Most people do it when they're five, they get their security blanket taken away. I did it at 54 and I'd been smoking 45 years. There's a lot of anger underneath it."
When asked why he was so determined to quit smoking now, Gibson said, "Well, apart from carrying the garbage up to the top of the driveway and wheezing... I have a three-month-old daughter and (someday) I want to play tennis with her."