The couple, who welcomed their daughter, North West, into the world five weeks early on June 15, has reportedly decided to share an intimate snap of the newborn via a multi-million dollar magazine deal but will donate all of the proceeds to a children's charity.
A source told gossip website TMZ.com that Kim, 32, hasn't accepted an offer yet but will take part in a family photo-shoot with the highest bidder.
The couple previously turned down an offer of $3 million for the first images of their baby, while Kim was still pregnant.
Meanwhile, Kim and Kanye, 36, who previously vowed to protect their daughter's privacy, have refused to appear with their baby on Kris' new talk show, which is set to debut in the U.S. next month.
Kim has also informed producers that she won't allow North to be shown on her E! reality series 'Keeping Up with the Kardashians' next season.
Kanye recently declared that his child's privacy was his top priority.
Shortly before the baby's birth, he said: "One of the things was just to be protective, that I would do anything to protect my child or my child's mother ... [But I haven't] fully developed those thoughts yet. I don't have a kid yet.
"Well, I just don't want to talk to America about my family. Like, this is my baby. This isn't America's baby."