X Factor mogul Simon was in London when he got the call that girlfriend Lauren Silverman was in labour over in New York, sparking a frantic dash across the Atlantic in time for Eric's birth on Valentine's Day.
Speaking to close friend and ex-girlfriend Terri Seymour on US show Extra, he said: "I had spoken to Lauren that night at about three in the morning my time, about ten o'clock her time. I was filming Britain's Got Talent and I had one more audition day to go and I said, 'Your timing is immaculate.'
"Phone rings at half five in the morning: 'I'm about to give birth.' We had to find a flight, which we did, and I got there with two hours to spare."
Simon said he held his son within five minutes of his birth and, yes, there were tears, adding he bonded with him immediately despite fearing beforehand that he wouldn't.
"I had actually said to Lauren beforehand, 'What if I like the dogs more than Eric? I've never had a baby before.' She said, 'You'll be absolutely fine' and within seconds of him being born I got it."
Simon's so smitten, in fact, that he is already thinking about baby number two… and three!
"I had a brother when I was younger so I kind of think it's cool to have two or three... I was born to be a dad."
Simon has certainly looked proud as punch every time he's been photographed since Eric's birth, most recently on the beach in Miami where he and Lauren jetted with their newborn son last month.
He announced the birth via Twitter on 14 February, saying: "Very happy to say Eric was born at 17.45pm. Healthy and handsome. Lauren is in great shape. Thanks for all your kind messages."
Little Eric was named after Simon's dad.
It's thought Simon, Lauren and Eric boarded a flight to London from Miami on Wednesday (5 March), where Simon will introduce little Eric to his mother for the first time.
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