Kanye's recent London concert saw the singer headline the 02 arena with Jay-Z, however the You Da One singer was not allowed within ear shot.
Reality star Kim allegedly doesn't want her new beau hanging out with other women while she's not present, especially given Rihanna's flirtacious reputation.
Kim is believed to have taken a dislike to the Barbadian several months ago when she was romantically linked to her brother Rob Kardashian
source told The Sun: 'Kim doesn't want women near him unless she is there - even friends. The fact that Rihanna was linked to her brother Rob probably didn't help.'
It's not just the Umbrella singer Kim isn't a fan of, as her jealous behaviour came to a head last week when she ordered Kanye to leave a London party as he was spending too much time with the other revellers, leaving her feeling ignored.
The source went on to say that Kim was 'all over Kanye at the start', however as soon as he started to mix with other people 'she had a stern word and took him away from the party'.
'He followed her orders with minimum fuss. He knows the deal,' it added.