According to Now magazine, Yeezy - who is already expecting his first child with the socialite - is said to want a family "as big as Kim's."
An insider revealed: "Kanye grew up as an only child and the Kardashians have been a revelation to him.
"He wants his kid to have loads of siblings, so he's told Kim not to get cosy with just one baby."
The source added: "He'd like them to keep making babies until they have at least six."
Kim recently revealed during an interview with Cosmopolitan magazine that she hopes to one day marry West, stating: "Sometimes you’re just not ready. A person could have it all, and you’re not ready for it all.
"But this is where I probably always should have been…[marriage] is something I know that we both want in our future, but I don’t have this sense of urgency about it."
Watch MTV News on the hour every hour on MTV - Sky Channel 126 and Virgin Channel 134