Kim Kardashian West is reportedly thinking about having a fourth child - a week after welcoming her third.

The 37-year-old reality star and her husband Kanye West became parents for the third time when their surrogate mother gave birth to a baby girl, which they have named Chicago, last week, and it has now been revealed that Kim is already speaking to the woman who carried Chicago about hiring her to carry another child for the pair.

Speaking of Kim - who already has four-year-old daughter North and two-year-old son Saint, both of whom she carried herself - a source said: ''Even before Chicago was born, Kim was talking about asking the surrogate to carry her next baby.

''She's so happy with the whole process and thrilled with the surrogate. Kanye was even bonding with the surrogate's husband in the delivery room.

''Kim definitely wants more kids. She is so happy being a family of five. She wants the family to get even bigger!''

And the star's 40-year-old rapper husband Kanye is said to be on board with the idea of expanding their brood even further.

The source added to People magazine: ''It's true that he was really the push for baby number three because he loves kids and wants a lot.''

The 'Keeping Up with the Kardashians' star and her husband announced the news of Chicago's birth on Kim's website on January 16, the day after the tot was welcomed into the world.

The social media post read: ''We are incredibly grateful to our surrogate who made our dreams come true with the greatest gift one could give and to our wonderful doctors and nurses for their special care. North and Saint are especially thrilled to welcome their baby sister.''

Days later, the pair took to Kim's website once again when they revealed their new arrival's unique moniker, which is thought to be named after the city in which Kanye was raised.