updated 09/03/2009 AT 11:00 AM ET
•originally published 09/03/2009 AT 12:10 PM ET
It’s a boy for Taye Diggs and Idina Menzel. The couple welcomed a son, Walker Diggs, on Wednesday, the couple’s reps confirm to PEOPLE.
“Mother, father and son are all doing well,” the reps said in a statement.
Although they had a few names in mind, Diggs said they were waiting to make a final decision.
“We have a couple [names] in the running,” the Private Practice star explained. “But part of us wants to see what he hits us with when we see him. We’ll see what he looks like.”
Walker is the first child for Menzel and Diggs, who are both 38 and met on the 1996 Broadway production of Rent. They wed in January 2003.
Reporting by JULIE JORDAN