"It seems the baby is on its' way," a source close to the couple told the UK's Express newspaper.
According to online reports, the socialite is at Manhattan's Lenox Hill, and has summoned Cowell to return from his native London, where he's filming TV, to be at her side for the magical moment. The couple is planning to name their baby boy Simon Jr., after his father.
As we previously reported, Cowell, 54, and Lauren met seven years ago on a Barbados resort during her marriage to ex-husband Andrew, who was pals with Simon at the time. The American Idol star maintained what appeared to be a close friendship with the couple, as they were pictured together as recently as a year ago on a boating trip, prior to their split after news of the affair leaked.