Kim Kardashian is ''feeling really good and excited'' about her new baby daughter.

The 32-year-old reality TV star gave birth to her first child last Saturday (15.06.13), with her boyfriend Kanye West by her side, but despite delivering the tiny tot five weeks early, Kim is not worried and is just full of joy.

Speaking to E! News, Kim's friend Larsa Pippen said: ''She's [Kim] doing really great. She's feeling really good and excited and the baby is so freaking cute. She's so cute.

''I didn't think she would have the baby so soon. I thought I'd enjoy a little bit more with her but we've been hanging out in the hospital, so it's all good.''

Kanye - who cancelled his scheduled appearance at a listening party for his new album, 'Yeezus,' on Friday night (14.06.13) after Kim told him she was feeling ''a little off'' - is already playing the over-protective father and hasn't left his newborn's side since she arrived.

Larsa explained: ''Yeah he was there [at the hospital]. He's so cute. He doesn't leave the room. He's, like, in love with the baby. It's so cute.''

The former 'The Real Housewives of Miami' star admits she's offered up cute names for the baby, which begin with 'K', but Kim is still undecided about her baby's moniker.

She said: ''We kind of went back and forth and the name that I wanted, [Kim] didn't love.''