The couple, who are expecting their second child in December, are desperate to show off the mansion in the prestigious interior design magazine after recently revamping it, reported Radar Online.
"Kanye wants to show off the Hidden Hills mansion now that they've finished renovations. Kanye considers himself to have an eye for interior design and fashion, and wants to show off what he considers some of his greatest work, the mansion.
"Kanye thinks the house will influence a generation of how young, hip, urban couples with families will want to decorate their residences," said a source.
"Kanye wants it to be featured in Architectural Digest, which is the equivalent to Vogue in terms of prestige."
The duo purchased the house, which features two swimming pools, a vineyard, eight bedrooms and 10 bathrooms, last August after getting tired of waiting for the extensive renovations on their Bel Air home to be completed.