Kim Kardashian and Kanye West to shack up?

OHMYGOSSIP — Kim Kardashian and Kanye West are reportedly set to move in together. According to America’s Life & Style magazine, the couple have put their respective homes on the market and are now searching for a lovenest together.

“They are preparing to move in together, it’s moving that quickly. If things continue at the speed they’re going, Kim and Kanye will rent a new house together,” a source said.

“They wouldn’t buy yet. They just want to live together without being fully domestic until they’re ready to have a family.”

Kim — who split from estranged husband Kris Humphries last October after just 72 days of marriage — has listed her stunning Beverly Hills villa for $5 million, which she bought in 2010 for $4.8 million.

Kanye has put his Hollywood Hills property as a pocket listing, which means it doesn’t show up in real estate documents, according to gossip website TMZ.

He previously put the three-bedroom house — which he bought in 2003 — on the market in 2010 for $3,995,000, although he didn’t end up selling it.

Sources recently claimed that Kanye has been giving Kim fashion advice.

“Kanye has been having chats with Kim about her style,” a source said. “He thinks she should be more like him, edgy with her choices. He keeps saying she should ‘evolve’ as a fashion icon. Kanye says she plays it safe too much so has been trying to pick outfits for her to wear and encourage her to be more daring.”