Kanye West wants his daughter to make her world debut on the cover of Vogue.

The 'New Slaves' hitmaker, who has rejected offers of up to $3 million from other magazines, is trying to convince his good friend Anna Wintour to put his girlfriend, Kim Kardashian, and their two-month-old daughter, North West, on the cover of the American publication, even though the editor-in-chief doesn't like the 'Keeping Up with the Kardashians' star.

A source close to Kanye, 36, told gossip website RadarOnline.com: ''It's no secret that Kanye is a huge fan of fashion, Vogue and especially Anna Wintour.

''But it's also pretty well-known that Anna is no fan of Kim or any reality star appearing in the pages of the magazine. Kanye is determined to make sure baby North isn't photographed by paparazzi then splashed across the world. He knows what he wants -- a professional photographer and the cover of Vogue - nothing else. But clearly, trying to persuade Anna is going to be an uphill battle.''

Anna is said to be ''less than enthusiastic'' about the idea but Kanye refuses to take no for an answer and recently compiled a list of statistics to show her that Kim is very popular with readers and has helped magazines to break sales records in the past.

He has also talked to respected photographers Annie Leibovitz and Mario Testino about shooting the exclusive spread of his family.

The insider added: ''Kanye is convinced that he's going to make this happen.''

Anna was recently reported to have given her seal of approval when Kanye told her that his daughter's name would be North West.

A source previously said: ''That's not why they named her North, but it's nice to have Anna's blessing!''

Anna allegedly blocked Kim, 32, from attending the prestigious Met Ball Gala in 2012 even though the tickets were available for purchase, and only allowed her to go this year as Kanye's date because he was performing at the event.