Kim Kardashian and Kanye West's daughter is still ''adjusting'' to the world.

The reality TV star's mother Kris Jenner has revealed that North West is starting to get used to her surroundings after being born five weeks early in Los Angeles on June 15 but is progressing well.

The 57-year-old 'Keeping Up with the Kardashians' star told People.com on Friday (28.06.13) that she is enjoying bonding with her new grandchild and added: ''She's just great, but she's only a little over a week old, so she's getting adjusted.

''She's great! She's beautiful, and amazing, happy and healthy.''

Kris said that North will definitely have a nickname but isn't sure what it will be yet.

She explained: ''It's a little early for me to predict, because we're just getting used to her. We're just getting used to each other, so we'll see what happens.''

Kim and Kanye have reportedly rented a home in Bel Air for six months in favour of moving in with Kris in Calabasas, California, so they can spend more time alone together with their baby while their new $9 million mansion is being renovated.