The Keeping Up with the Kardashians star, who was due to give birth to her first child on July 11, has reportedly welcomed her daughter at Cedars-Sinai Medical Center in Beverly Hills with her rapper boyfriend Kanye West by her side.

A source told UsMagazine.com: "Kim had her baby. She's five weeks early. Kim got sick last night and had the baby early. They're all doing great and amazing!"

Kanye skipped a listening party for his new album amid rumours Kim was in labour.

The 36-year-old rapper reportedly disappointed some of his biggest fans by not showing up to a party at Milk Studios in Los Angeles on Friday night (15.06.13), where he was scheduled to preview tracks from his new album Yeezus, which leaked online before its official release next Tuesday (18.06.13).

Sources told gossip website RadarOnline.com that a rumour quickly swept through the event that the reason the New Slaves hitmaker was a no-show was because his reality TV star girlfriend was going into labour.

Several of Kim's close friends including Scott Disick and Jonathan Cheban both attended the party.

The 32-year-old beauty, who has been noticeably absent on social media today, previously revealed that she was due to give birth to a baby girl in early July.

Kanye recently revealed that he plans to do everything in his power to protect the privacy of his daughter.

Asked for his thoughts on parenthood, he said: "One of the things was just to be protective, that I would do anything to protect my child or my child's mother ... [But I haven't] fully developed those thoughts yet. I don't have a kid yet.

"Well, I just don't want to talk to America about my family. Like, this is my baby. This isn't America's baby.

-Bangshowbiz