The couple have apparently been approached with deals totalling up to $3 million by several magazines, with a foreign publication offering the largest single amount.
A source close to the couple told TMZ that Kardashian and West have thus far turned down all offers in a desire to maintain their privacy, but have not completely ruled out selling the images later on.
Representatives for the pair declined to comment on this latest rumour.
Initial reports suggested that the couple would not allow their children to feature on reality television, but an E! spokesperson contradicted that by saying the child could in fact appear on Keeping Up with the Kardashians.
West announced his partner's pregnancy during a December 30 concert in New Jersey and Kardashian later confirmed the happy news on her blog.