September 04, 2013 11:00 AM

FameFlynet

Simon Cowell recently said seeing an ultrasound of the child he’s expecting with Lauren Silverman was “surreal.” Now we know what the proud dad-to-be was looking at on that monitor.

“Simon and Lauren are expecting a baby boy,” a source close to the X Factor judge tells PEOPLE.

So how is Cowell, 53, feeling after learning that his first child will be a son? “Simon couldn’t be happier,” says the source. “He is just so excited. All he talks about is the baby. Lauren and the baby are doing great.”

Cowell certainly looked happy when he was photographed holding hands with Silverman, 36, while spending time together in France last month.

“Simon very much enjoyed their vacation,” the source says. “The baby is bringing him and Lauren even closer — it’s just amazing to see Simon this happy. Lauren and the baby have really changed his life for the better.”

And, as usual, he’s not afraid to speak his mind: “I feel very paternal right now,” Cowell said in a recent interview with The Times of London. “So I am very happy.”

— Lee Hernandez

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