“It’s so great,” the new dad, 37, said during an appearance on Live! with Kelly Wednesday.
So what exactly is a night nurse? Explained the Gotham star, “They stay up with the baby the first couple of weeks when the baby is really up all the time.
“They’re basically — they wake up my lady to get her to feed the baby — but between times when the baby can be cranky and fussy, they’re on it,” he said.
Want all the latest pregnancy and birth announcements, plus celebrity mom blogs? Click here to get those and more in the PEOPLE Babies newsletter.
This embed is invalid
McKenzie has taken on other tasks, he said, including diaper changing.
“It’s pretty magical,” The O.C. alum said of fatherhood.
Nursing or Not? Moms Talk About the Pressure to Breastfeed
And Baccarin is totally proud of McKenzie’s daddy skills, telling PEOPLE earlier this year, “Ben’s the sweetest.”
— Lindsay Kimble