The music mogul is currently busy appearing on the US version of The X Factor, while also been preparing for the arrival of his first child, whose mother is Simon's longtime friend Lauren.
One thing the expectant parents can tick off their 'to do' list however, is deciding on a baby name.
Yesterday (4 November), Simon revealed to E! News that he and Lauren were no longer struggling to think of a moniker for their son.
He said: "We agreed on a name last night, me and Lauren."
But the typically private entrepreneur failed to divulge any further and simply assured the outlet that he was "happy" with the final decision.
Reports have also been swirling that Simon is hoping to name the child after himself, since he took part in an interview with ex-girlfriend Terri Seymour recently and joked: "My number one choice is Simon because I like the name."
He also claimed to be fond of the name Eric.
However, we still don't know for sure which option the mum and dad-to-be have gone with - and knowing Simon, he may have a wildcard up his sleeve!
Simon confirmed that he is expecting a child with Lauren in August, saying that he "feels good about it".
He and Lauren have since been spotted looking loved up together on a string of dates.
What do you think Simon will call his child? Let us know below, as the best comment each week wins £50!