According to TMZ, however, Kim is considering a $2 million offer to sell her baby's first photos to a magazine, with all the proceeds going to charity.
If it goes ahead, that means Baby Kimye won't be making her first public appearance on grandmother Kris Jenner's new US talkshow, as had been speculated.
If Kim does sell her baby's pictures for charity, she'll be following in the footsteps of stars including Brad Pitt and Angelina Jolie, who sold photos of daughter Shiloh and twins Knox and Vivienne, with all proceeds going to good causes.
Whether Kanye would join Kim for a baby photoshoot remains unclear…
Before his daughter's birth he told The New York Times that he didn't want to share his family with the world. "Like, this is my baby. This isn't America's baby."
Kim documented her pregnancy on her family reality show Keeping Up With The Kardashians, but whether baby North West will appear in future episodes remains unclear.
Kim, 32, has yet to mention her new arrival on any of her social networking accounts or official website, although she has returned to Twitter following a brief absence.
Her first tweets were to celebrate sister Khloe's birthday, while last night she encouraged fans to watch the new episode of KUWTK.
From Kim to TOWIE: the top showbiz stories of June in pictures -
Copyright: Twitter Kim Kardashian