David Spade is the father of a baby girl born last week in Missouri to Playboy Playmate Jillian Grace, the actor's rep tells PEOPLE exclusively.

"David and Jillian have been in close contact throughout her pregnancy and he plans to go see the baby during his first break from shooting Rules of Engagement," Spade's rep, Meredith O'Sullivan, tells PEOPLE.

The actor, 45, announced in January that he had a brief relationship with Grace, and if proven to be the child's biological father, he would accept responsibility. The baby was born Aug. 26.