"Kim and Kanye have now just started dating," a source told People.
"They have been close friends for years and decided to give it a try [with dating]."
The pair has been spotted together in New York City on a couple occasions this week, as Kardashian -- who split from Kris Humphries after only 72 days of marriage last year -- is reportedly in the area to co-host the Today Show on Friday.
The 31-year-old reality TV star and West reportedly saw The Hunger Games on Wednesday and then enjoyed lunch at the Serafina restaurant on Thursday.
The new couple is planning to keep things "light" for now, but "they're seeing where it goes," the source added.
Kardashian and the 34-year-old artist have reportedly supported each other's careers for quite some time. West has even appeared on Kardashian's reality show, according to People.
But West isn't afraid to let the world know how he feels, as he openly admitted he's cared about Kardashian for awhile in the lyrics to his new song "Theraflu."
"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-Z] drop him from the team," wrote West, who referenced how Jay-Z owns part of the New Jersey Nets, the team Humphries plays basketball for.
Although Kardashian and Humphries are currently in the process of finalizing their divorce, according to another People source, she has "completely moved on in a good way."