Dr. Oz, who met up with US Weekly at the Daytime Emmy Awards on Sunday, said he had been "following Kim's story."
Our youngest child [Oliver] was born five weeks premature. So I know how hair-raising that is, and the most important thing to recognize is today, we can actually get kids to survive almost always, but if you don't manage them really well early on, they can grow up to develop all kinds of issues.
The "Dr. Oz Show" host said that Kardashian and West would have to "really put the focus" on their newborn.
"We change how a child responds to a world around it in those first few weeks of life, so they ought to really focus in on that little girl," he said.
"It's sacred, those first few months, for all babies but especially for the premature It's a sacred time," he added.
Meanwhile, Kim's sister, Khloe, has promised that the family will share more info about their newest member "when the time is right."