Kim Kardashian and Kanye West are reportedly considering living together.

"Kanye and Kim are thinking about moving in together," a source told Us Weekly.

The Us report that the couple may take their relationship to the next level came out on Thursday only hours after TMZ had reported the Keeping Up with the Kardashians star and West quietly put their L.A. homes up for sale.

According to TMZ, Kardashian -- whose residence is worth $4 million -- and the rapper both decided on "pocket listings" for their properties so they won't appear in public listings and the couple's realtors will maintain exclusive access to the listings.

The former Kourtney and Kim Take New York star, 31, and West, 34, are reportedly looking to rent a very private house together with surrounding gates.

Reports that Kardashian -- whom is still in the process of divorcing Kris Humphries, who she split from in October after only being married to for 72 days -- had a new boyfriend first surfaced when she and West, her longtime friend, were spotted together in New York City in early April and seen catching a movie and enjoying lunch.

"Because they've been friends for so long, it's just so easy and that's something I love seeing for Kim -- the easiness and how happy she is. And it's just more of a great friendship and friendships make the best relationships," Kardashian's sister Khloe told Watch What Happens Live host Andy Cohen in April, according to Us.