updated 03/06/2014 AT 2:45 PM ET
•originally published 03/06/2014 AT 2:50 PM ET
Cowell says fatherhood initially made him nervous, but once Eric was born, he immediately became a natural.
“I actually said to Lauren beforehand, ‘What if I like the dogs more than him?’ and she said, ‘You’re gonna be absolutely fine,’ and then literally within seconds of him being born, I got it! I was born to be a dad,” he said.
And as for why he named him after his father?
“We were gonna call him Simon and then we said, you know what it’s not a good idea, so we decided on Eric. And I look at him and I think of my dad all the time, so it’s a really good thing,” he said.