Kanye West and Kim Kardashian are reportedly ready to "give [dating] a try."

The rapper has professed his adoration for Kim in his new song Theraflu with lyrics stating that he "fell in love" with the star.

Speculation over the pair's relationship has been rife for years and Kanye's ex Amber Rose recently accused the rapper of committing adultery with Kim while they were together.

Sources say that the pair are taking it slow.

"They've been friends for years," an insider told Us Weekly magazine. "Kim is ready to give it a try now. She's hanging out with Kanye a lot.""

Kim was seen leaving Kanye's New York City apartment this week wearing the same clothes she wore the day before.

In his new song Theraflu, Kanye taunts basketball star Kris Humphries, Kim's estranged husband after 72 days of marriage, who plays for Jay-Z's team the New Jersey Nets.

"I'll admit, I fell in love with Kim/ Round the same time she fell in love with him/ Well, that's cool, baby girl, do your thang," he raps on the track. "Lucky I didn't have Jay drop him from the team."

The 34-year-old star also refers to his former relationship with Amber, who is now engaged to Wiz Khalifa, in the song.

"And the whole industry want to f**k your old chick/ Only n***a I got respect for is Wiz," he says.