The actor, who is expecting his fourth child with his wife, has also insisted that his three daughters are "very excited" with the new arrival.
Speaking to People about Luciana, he said: "She really keeps it together.
"We just talk it out and work it all out. You say, this is the job and this is the time commitment and this is where it will be. I’m a lot easier to hire if you’re doing movies in New York."
It was recently reported that Damon is in talks to lead the cast of Cameron Crowe's next movie We Bought A Zoo.