The couple, who have four-month-old baby North West, are reportedly looking at a potential new home in Bel Air, California.
E! News has learned the pair have their eye on a two-acre piece of land up in the Hidden Hills, which is secluded from the regular hustle and bustle of Los Angeles life.
But they'll still have a few famous neighbours, including 'These Boots' singer Jessica, 33, and her family.
If newly engaged Kim, also 33, and Kanye, 36, purchase the huge amount of land they were seen checking out on November 9, they'll be sharing the neighbourhood with Jessica, her fiancé Eric Johnson, 34, 18-month-old daughter Maxwell and five-month-old son Ace.
Kim and Kanye already purchased a home together in the same area for a hefty $11 million back in January.
However, the pad, which is currently still in construction, is believed to be too exposed for the A-list pair.
Therefore, they are looking for a new property and have been discussing buying the piece of land.
Jessica moved into Ozzy Osbourne's home in the Hidden Hills in April this year, which is nearly two lots away from what could become Kim's new humble abode.
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