The rapper is rumoured to be dating the reality TV star and she is finding all his attention overwhelming, although she is flattered by it.
A source told Hollywoodlife.com: "Kim really hasn`t ever had a guy be so obsessed with her. "She almost doesn`t know how to handle how much Kanye likes her. She has never felt this loved and it makes her feel good."
Kim - who sensationally split from basketball player Kris Humphries after just 72 days of marriage last year - and Kanye are said to be going to great lengths to see each other as much as possible. The source added: "Kim flies to New York all the time and Kanye is loaded so it`s not hard for them to see each other.
"He flew her private to Paris for his fashion show last minute - he`ll do anything for Kim."
Kanye has previously confessed he "fell in love" with Kim in a song, `Way Too Cold`, which debuted online two weeks ago.
In the song he says: "I admit I fell in love with Kim / Around the same time she fell in love with him / Well that`s cool baby girl / Do your thing."
It is also rumoured Kanye is to splash out £30,000 on a luxury holiday for them both to the island of St Lucia.