Are Kim Kardashian and Kanye West taking their relationship to the next level?

According to TMZ, both put their Los Angeles-area homes on the market on Thursday in pocket listings and are looking for one place to share together.

The "pocket listings" mean there are no public records of the homes going up for sale, but sources close to the couple tell TMZ that they're looking to share a gated rental property.

West has tried to put his Hollywood Hills home on the market before. In 2010, he listed his three bedroom, three-and-a-half bathroom property for $3.9 million, but there weren't any takers. The minimalist structure features a modern take on the chandelier, a home theater, city views and room for a pool (see below).

Photos courtesy of Zillow.com.

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Check out photos of Kardashian's Beverly Hills villa, which she bought in 2010 for $4.8 million, according to the Daily Mail. The Tuscan-inspired home has 4,000 square feet of living space, four bedrooms, a pool, manicured gardens and a waterfall.

Photos courtesy of Zillow.com.

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So what are the prospects for these multi-million dollar homes in today's real estate climate? Realtor.com says there's "no doubt" that West and Kardashian's properties will sell quickly -- despite the fact that they're both on the market for a reported $5 million each.

Rumors of a potential relationship between Kardashian and West first circulated in April after the pair was spotted on dinner and movie dates in New York City.

Initially Kardashian stayed mum on the entire affair, but the rumors seemed all but confirmed when the two were spotted holding hands at a Lakers game and kissing on set at a photo shoot in Los Angeles.

Kardashian is still married to NBA player Kris Humphries. She filed for divorce in Oct. 2011, but the split hasn't been finalized yet.