The supermodel, 41, and boyfriend Andre Lemmers have welcomed their first baby together. The couple’s son, Cyan Lima Lemmers, was born in Santa Monica, California, on Aug. 29.
Their son’s name is “inspired by the beautiful colors of the water across the globe in destinations like the Maldives, Bahamas, and Bora Bora,” a source tells PEOPLE. “Cyan is the color between green and blue in the color spectrum.”
The “baby already has mommy’s lips and eyes,” adds the source, who confirmed to PEOPLE that “mom and baby are at home and healthy.”
Lima is already mom to daughters Valentina, 12, and Sienna, 9, whom she co-parents with ex-husband Serbian basketball player Marko Jarić.
The pregnant supermodel has been enjoying maternity fashion, putting her baby bump on full display at this year’s Cannes Film Festival.