Kim Kardashian & Kanye West: Still No Baby Name?

Kanye West and Kim Kardashian attend the 'Cruel Summer' Premiere during the 65th Annual Cannes Film Festival at Palm Beach on May 23, 2012 in Cannes, France -- Getty Images

Kim Kardashian and Kanye West are still deciding on what to call their new little one.

According to People, days after the reality star and rapper welcomed their newborn daughter - who was five weeks early - a name has still not been picked.

"Kim is being very protective of the baby and she says there is no official name," a source told the mag.

PHOTOS: The Many Men Of Kim Kardashian

The source went on to say they couple is likely to go with a "K" name.

Another mag source offered up more details surrounding the early birth.

PHOTOS: Kim Kardashian's Maternity Style

"She was admitted with medical complications and her doctor made the decision that her baby needed to be delivered. Kim had a natural birth," the second source said. "If Kim would have had very serious complications, her doctor would have decided to do an emergency C-section instead."

This is the first child for Kim, 32, and Kanye, 36, who first went public with their romance in April 2012.

-- Jesse Spero

Copyright 2013 by NBC Universal, Inc. All rights reserved. This material may not be published, broadcast, rewritten or redistributed.