Kim is said to be enjoying a romance with the 'Stronger' rapper and while Khloe says Kanye is a close family friend, she has no idea if the rumours are true.
She told talk show host Ellen Degeneres: ''Honestly, we've known Kanye forever. He's been a great family friend. I love Kanye. I don't know what happens with Kim. I love Kanye. I think they're cute together. I've said that, but, honey, I don't know. You got to get her on the show and ask. Why don't you get them both on the show ask them together?''
However, Khloe - who is married to basketball player Lamar Odom - says if Kim and Kanye are together, she thinks they'll make a great couple because they've got such a solid foundation.
She said: ''I like Kanye. I think Kim and Kanye have known each other for a long time. I think that they're good friends and they're compatible. I think a Friendship is where good relationships stem from.''
It has been claimed 31-year-old Kim - who is currently divorcing estranged husband Kris Humphries - decided to embark on a romance with the 34-year-old rapper after growing close to him over a number of years.
A source said: ''They've been friends for years. Kim is ready to give it a try now ... She's been hanging out with Kanye a lot.''