Janet and her newborn son Eissa are reportedly resting at home with nursing staff "waiting on them hand and foot".
The 50-year-old star and her husband Wissam Al Mana welcomed their baby boy into the world last week, and it's said the new mum had an "easy birth".
"Janet took extra care to rest," an insider told Us Weekly magazine, who added that mother and baby are getting the very best care. "It was an easy birth."
The insider said that they are both living "a lavish life", adding: "Nurses are waiting on them hand and foot."