"Things are changing in my life right now, for the better," the X Factor judge told BBC at the London premiere of One Direction: This Is Us today.
"I'm proud to be a dad," he added to BBC's reporter when asked about the recent baby news. "It's something I haven't thought of before, and then, now I know I feel good about it. And she's [Silverman] a very special girl."
This is the first time Cowell, 53, has confirmed the big baby news and shared his feelings about becoming a dad.
When asked about the baby drama news earlier this month at the FOX TCA event in L.A., he played coy, saying, "I haven't read the newspapers. Am I missing something? Sorry. Unfortunately, I have to keep this private for the moment. It's just one of those things, but thank you anyway."