April 02, 2015 09:15 PM

Mark Davis/WireImage

And baby makes three!

Veep star Reid Scott is a first-time father after welcoming a son, Conrad, with wife Elspeth on Tuesday, March 31, his rep confirms to PEOPLE.

The couple waited to reveal the pregnancy — and the sex of their baby on the way — until the Screen Actors Guild Awards in January.

After attending a pre-show party, Scott, 37, and his leading lady stepped out together for the big event, where the mom-to-be debuted her belly in a black gown while walking the red carpet.

“We’re having a little boy — I’m just psyched,” the actor told PEOPLE, before adding, “I have the hottest wife on the carpet.”

— Anya Leon with reporting by Sarah Michaud

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