The actor - who is expecting his fourth daughter with wife Luciana later this month - announced the pregnancy in April.
"I’m really excited," he told In Touch.
"I’m anxious to meet her. She’s going to be here soon!"
Damon went on to discuss the experience of living in a house full of women.
"It’s just completely different from any experience I’ve ever had in my life! It’s like relearning life. But it’s kind of amazing," he said.
The couple are already parents to 2-year-old Gia, 4-year-old Isabella and 12-year-old Alexia.