Baby on the Way for David Schwimmer!

Zoe Buckman and David Schwimmer

Janet Gough/Celebrity Photo

updated 12/22/2010 AT 3:00 PM ET

originally published 12/22/2010 AT 3:35 PM ET

David Schwimmer has big news: he’s going to be a dad!

The actor and wife Zoe Buckman, who wed in June in a private ceremony, will be first-time parents, his rep confirms to PEOPLE, who adds that the two “couldn’t be more thrilled.”

Buckman, a photographer, and Schwimmer, 44, met in London in 2007, and announced their engagement in March 2010.

Speaking to PEOPLE in 2006 about his desire to start a family, the former Friends star said he was eager to be a dad – in due time.

“I think it’s gonna have to wait until I settle down and have a family,” he said at the time. “It will happen when it feels right. Maybe part of me is waiting for myself to slow down a little and be ready to stay put. I’m confident it’s gonna happen.”

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