The couple has said no to an Australian magazine to give exclusive photos of their newborn daughter, reported Aceshowbiz.
"Kanye's been adamant about not having the baby on the show. He was serious when he said North isn't America's baby, so he may not do anything," a source said.
West has rarely left his daughter's side and made his first appearance since his baby's arrival last week when out with Kris Jenner in Los Angeles.