It has been a busy first-half of June for Kanye West. Less than one week before his sixth solo album, Yeezus, will hit stores on June 18, West and girlfriend Kim Kardashian now welcomed their first child, a baby girl this morning (June 15).

Us Weekly reports that Kardashian gave birth in the last 24 hours, accompanied by West at Los Angeles, California’s Cedars-Sinai Medical Center. The baby was expected in the first half of July, but was delivered nearly one month early. “[The baby girl’s birth] five weeks early. Kim got sick last night and had the baby early,” a source told the celebrity magazine. Us also reported that both the newborn baby and her mother are healthy after the delivery. The baby’s name has also not been released to the public.

Kanye West, who was in New York earlier in the week, was in California when Kim went into labor. The superstar emcee/producer was expected at L.A.’s Milk Hangar last night (June 14) for a Yeezus listening event and party. However, West did not attend, after apparently accompanying Kardashian to the hospital.

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Earlier this month, HipHopDX reported on the gender of the baby, which was unveiled courtesy of E!’s Keeping Up With Kardashians reality television show. The couple announced Kim’s pregancy during a 2012 New Years Eve celebration in Atlantic City, New Jersey.

Last month, a source claiming to be close to the couple revealed to media that they intend to bring the baby on Kanye West’s upcoming tour.

HipHopDX would like to send our congratulations to the families of Kanye West and Kim Kardashian.

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(June 15)

UPDATE:E! News reports that the baby was born naturally, and weighed less than five pounds at delivery. A source hinted that the girl’s name, when announced to the public, likely starts with a K—a tradition in the Kardashian family, and also true of her father. The source also noted, “[The baby] has dark hair. She looks just like Kim [Kardashian].”

(June 16)

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UPDATE #2: TMZ.com is reporting that the first child of Kanye West and Kim Kardashian’s name is North West. Although the couple is not married, the celebrity news and gossip site reports that the couple’s daughter, who will turn one week old in the next day, has taken her father’s last name according to a birth certificate seen at Cedars-Sinai Medical Center.

This may hint towards the couple’s plans to marry, though it is unclear at this time. Neither Kim nor Kanye have confirmed their daughter’s name since last Saturday.

RELATED: Kanye West & Kim Kardashian Announce Pregnancy