September 07, 2013 12:00 PM

Simon Cowell had two reactions when he learned that he was going to be a father.

The X Factor judge, who’s expecting his first child with Lauren Silverman this winter, tells Ellen DeGeneres in an interview airing on her talk show Tuesday that he thought, “Oh my God, this is exciting, and it’s going to be a bit of a nightmare for the next few weeks.”

He’s referring to the fact that Silverman was still with her husband, Andrew, when the baby news broke in July.

“It was kind of uncomfortable. You know, the situation,” Cowell, 53, admits. “But these things happen and everything is kind of calm now and I’m happy. I’m actually happier than I’ve ever been.”

Michael Rozman/Warner Bros.

The British star says the baby — whom a source tells PEOPLE is a boy — will be raised in New York, Los Angeles and London, and admits that despite all the stressful attention, the mom-to-be (who already has a 7-year-old son with her now ex-husband) is “in a really good place.”

Cowell defends Silverman, whom he recently spent time with in the south of France, against the allegations made about her in the media.

“There was a lot of stuff said about her, that she trapped me and that she’s a gold digger. Absolute nonsense,” he says. “She’s a great girl.”

— K.C. Blumm

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