She welcomed her third child with via a surrogate on Monday.
She retweeted a post that read: "To everyone who thinks it's literally pronounced as CHI. No". Chicago Bulls legend Scottie Pippen thinks Kim and Kanye naming their newborn Chicago West is "gorgeous".
Kardashian West carried and gave birth to her older children but was advised against getting pregnant again because of possible medical complications.
But she suffered from pre-eclampsia and placenta accreta on those occasions.
She's also said to be a Democrat in "great physical shape".
Baby number two was named Saint after Kim had a very hard pregnancy.
And in September it was revealed that the surrogate is a "married African-American college graduate with two children of her own".
REUTERS/Mike SegarKim Kardashian West participates in a television interview as she arrives for the 20th Annual Webby Awards in Manhattan, New York, U.S., May 16, 2016. She was born via a surrogate mother. "It's not for everyone, but I absolutely love my gestational carrier and this was the best experience I've ever had", she said in statement on her app.
The pair announced the birth of their daughter by an adorable tweet that expressed they were "so in love".