She claims the newborn is to be called Kaidence Donda West.
The name would be in keeping with the Kardashian family tradition of giving all the daughters names beginning with the letter ‘K’.
The unidentified medic is thought to work at the Los Angeles Cedars Sinai hospital where Kim gave birth to the child five weeks early.
The middle name Donda is said to be a tribute to rapper Kanye’s late mother.
Earlier rumours had suggested the baby might be called Kai Georgia Donda West — but insiders have claimed Kaidence was ‘repeatedly mentioned’ in the Kardashian hospital room.
But there has still been no official word from her mum and dad, although TV reality star Kim’s sister Khloe did take to Twitter shortly after the birth to post: “I can not even begin 2describe the miracle that is now apart of our family.