The couple's bundle of joy is expected to arrive in February, reported Aceshowbiz.
"He is over the moon to be having a son. They've known for a while," a source said.
'The X Factor (US)' judge recently gushed over his unborn baby, saying that he felt "very paternal" after seeing the baby's sonogram.
"It is just surreal. You literally see this thing which is now alive moving around. I feel very paternal right now. So I am very happy," he said.
Cowell also said that he would be a good father.
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