The 32-year-old is expecting her first child with rapper Kanye West in July, reported Hollywood Life.
The couple went on house hunting in Bel Air checking out several mansions in the same neighbourhood that Rupert Murdoch,
Tom Cruise and Jennifer Aniston reside.
Kardashian is "anxious" and wants the home buying process to be completed before their baby is born.
"Kim is pressuring Kanye to nail down something for certain here in town. Since she's about to deliver, she wants to know that once all the dust settles, she'll be in a new place with Kanye. She's just anxious," a source said.
"I know Kim wants something soon, so over the next week or so they're going to be looking pretty hard. Kanye wants to find something quick so she can scratch that off her list of things to worry about and just focus on their baby," the source added.
Kardashian had sold her 5 million dollar Beverly Hills home and she is supposed to vacate that house by August 1, while West's 3.3 million dollar Hollywood Hills house is about to be sold. He has already moved out of that house.