This is 31-year-old's first child with rapper boyfriend Kanye West.
Speaking on the 'Today' show, Kim's sister Khloe teased, "This Sunday we are going to reveal it on the show. You'll find out the sex of Kim's baby on the show."
Khloe was quizzed further by hosts Matt Lauer and Savannah Guthrie, who suggested the baby shower invite looks perfect for a baby girl.
The custom-made invitation - which was sent out to the likes of Beyonce and Fergie - is a white music box which plays a lullaby version of West's track 'Hey Mama' as a plastic ballerina dances.