updated 04/05/2012 AT 1:05 PM ET
•originally published 04/05/2012 AT 2:00 PM ET
It looks like Kim Kardashian is ready for romance.
Although she told British Cosmopolitan in an interview that was done months ago that she wasn’t ready to date – she has changed her tune.
The reality star, who is still fighting to legally end her 72-day marriage to basketball player Kris Humphries, has moved on romantically with her longtime friend, musician Kanye West.
“Kim and Kanye have now just started dating,” a source close to the situation tells PEOPLE.
The pair are keeping things “light” for now, but “they’re seeing where it goes,” the source adds.
West, 34, and Kardashian, 31, have supported one another as friends for quite some time, with West even making appearances on the star’s E! show. “They have been close friends for years and decided to give it a try [with dating],” says the source.
For his part, West hasn’t exactly been shy about his feelings for Kardashian. In his new song “Theraflu,” West sings, “I admit I fell in love with Kim … ‘Round the same time she fell in love with him … That’s cool, babygirl, do your thing … Lucky I ain’t had Jay drop him from the team.” (West is referring to his pal Jay-Z who owns the New Jersey Nets, the team Humphries plays for.)
The new couple enjoyed a movie date on Wednesday in New York City, where they reportedly saw The Hunger Games. They were also spotted having lunch at Serafina in N.Y.C. with several friends on Thursday.
“It may have seemed platonic throughout the lunch, but he couldn’t hide his affection for Kim at the end when they started to make their exit. He was obviously doting on her,” a source who witnessed their lunch tells PEOPLE. “Kanye helped Kim put on her jacket when they got up to leave. He affectionately adjusted her collar and Kim’s friend even said: ‘Oh, you guys are so cute!’ ”
Kardashian is in town to host the Today Show Friday.
As for Humphries, Kardashian has “completely moved on in a good way,” says another source.
With reporting by CHARLOTTE TRIGGS