Kim Kardashian and Kanye West

Kim Kardashian and Kanye West

Kanye West and Kim Kardashian are adjusting to parenthood well.

The couple welcomed daughter North into the world on June 15 and Kanye, 36, can't stop smiling since become a dad.

A source told People magazine: "He's so relaxed and comfortable with the baby. She makes him smile."

Kim 32, is equally smitten with the baby and despite an alarming early labour, she is happier than she has ever been.

The insider added: "Having a newborn can be very intense but Kim never complains."

While the couple are not rushing to get married, friends believe it is only a matter of time before they make their union official.

The source explained: "I can't imagine they won't get married. It's in their future."

The rapper who is usually private, previously made several appearances on Kim's reality TV show 'Keeping Up with the Kardashians' and Kanye says he did so because he loves Kim and wants to make her happy.

Kanye said: "Oh, that's just all for love. It's simply that. At a certain point, or always, love is more important than any branding, or any set of cool people, or attempting to impress anyone. Because true love is just the way you feel. Thoughts and feelings can disagree sometimes."