December 19, 2012 01:30 PM

Christopher Polk/Getty; Courtesy Rose Costa

James Marsden is a father for the third time.

Brazilian model Rose Costa delivered a son, William Luca Costa-Marsden, on Friday, Dec. 14 in Los Angeles, PEOPLE has learned.

The 30 Rock star, who briefly dated Costa after his split from wife Lisa Linde in 2011, picked the name and is being very supportive, a source tells PEOPLE.

Marsden, 39, is already dad to daughter Mary James, 7, and son Jack Holden, 11, with Linde.

A rep for the actor could not be reached for comment.

— Sarah Michaud with reporting by Lesley Messer

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