The "Frasier" star married for a fourth time when he exchanged vows with Kayte Walsh in February, just days after finalizing his divorce from ex-wife Camille.
Grammer and Camille are currently battling in court for custody of their two children, son Jude, 6, and daughter Mason, 9, but the actor is already looking forward to expanding his family, and he has even told his kids to expect a brother or sister in the near future.
He tells OK!, "I think they're [the kids] very excited about the idea of having a new addition to the family. They're very very cool about it. My son, Jude, especially. He's like, 'When are the children coming?'"
Grammer and Walsh were expecting a child while they were engaged, but Walsh miscarried.
Grammer, who has two grown-up daughters from other relationships, admits the ongoing court battle with Camille is turning nasty, calling the legal proceedings, "turgid and unpleasant", but he is happy to be able to spend the upcoming Father's Day holiday on June 19 with his children, adding, "I'm going to spend it with the kids. I think we're going to have a barbecue this year."