Kim and Kanye 5week Premature Baby is becoming stable.

An employee at Cedars Sinai that tell us Kim and Kanye's baby daughter is doing VERY WELL.

According to our insider, the child - who was born 5 weeks premature - was placed under an ULTRAVIOLET LIGHT and in an incubator moments after she was born. Doctors also pumped oxygen to assist in her breathing.

But the baby is doing MUCH better now. We're told that the little girl is now OUT of the incubator, breathing air on her own, and sleeping in a crib next to her mother and father.

All of the prayers they received are truly working. Happy Fathers day to Kanye West - and CONGRATS to the entire Kardashian and West families.