The 31-year-old socialite and reality star is said to have hooked up with the rapper just minutes after arriving in the Big Apple, and snuck back to his apartment following an intimate dinner date.
An eyewitness told Life & Style magazine: "She arrived with sister Khloé and mom Kris and it was clear Kim and Kanye couldn't wait another second to see each other because he showed up at the hotel she's staying at just moments after she checked in.
"Around 01:40 they headed out for a romantic date at Mercer Kitchen. They stayed until around 03:00.
"They looked very happy to see each other and in love. They both headed back to Kanye's apartment for the night."
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.
A second insider said: "Kim flies to New York all the time and Kanye is very rich so it's not hard for them to see each other."
Kanye, 34, has previously confessed he "fell in love" with Kim in a song, Way Too Cold, which debuted online two weeks ago.
In the track he raps: "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."
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