Meanwhile, the 35-year-old television personality - who also has two-year-old daughter North - had a "really tough" pregnancy because of her placenta accreta condition, where the placenta fails to detach from the womb.
An insider shared: "She had a really tough birth because of the issues with her placenta."
"And it hasn't just been the final part of the pregnancy that has been difficult for Kim, as she previously revealed she had to have an External Cephalic Version to have her baby moved from the breech position."
Khloé Kardashian previously posted a video saying Saint is "perfect".
She is reportedly besotted with tiny tot and couldn't help but brag about his sweet features when she sat down for a live stream with her fans on her website.
She said in the short black-and-white video clip: "My little nephew was born he is so cute and so perfect. I love him and mommy and daddy are doing fantastic."
-Bang! Showbiz