Kim Kardashian cradles baby North while leaving Kanye West's home in a tight ...

By Iona Kirby

PUBLISHED: 13:15 EST, 13 November 2013 | UPDATED: 13:45 EST, 13 November 2013

They got engaged just over three weeks ago and welcomed their first child together in June.

But Kim Kardashian and Kanye West are no longer living together, according to a new report.

The couple are still waiting for construction on the Bel Air home they purchased together to be completed.

In the meantime, the reality star is believed to be staying at her mother Kris Jenner's home in Calabasas.

But her rapper beau has allegedly left his future mother-in-law's mansion and moved back into his bachelor pad.

'There's too much chaos at Kris' house for Kanye,' a source told In Touch.

As the rumours emerged, Kim was seen leaving Kanye's Hollywood Hills house on Tuesday while cradling baby North.

However Miss Kardashian's representative has told Mail Online that the report is 'absolutely false' and added: 'In Touch consistently fabricates stories.'

The rep said: 'Kanye has a few residences in different cities. Doesn't mean they don't live together. They have multiple residences and stay as a family in many residences.'

When she was spotted on Tuesday Kim, 33, was showing off her famous figure in a black pencil skirt that hugged her pert bottom and a white crop top that left a little midriff on display.

Kim also wore black and gold sandals while her bundle of joy, who will be four months old on Friday, was dressed in a white onesie and covered in a matching blanket.

Kim didn't seem fazed by the fact that she was pulled over by police for speeding on Monday on a busy Los Angeles freeway.

According to the new claims, when Kanye does come to Kris Jenner's place to visit his two girls, he doesn't stay overnight.

'Kanye is working all of the time,' another insider told In Touch. 'Kanye will come over to Kris' for a few hours, but then go back to his place.'

The star couple bought their mansion together in January for a staggering $11million, but work on the property is ongoing.

Kanye's bachelor pad has been on the market for over a year and he recently slashed the price by $1million to $2,9million, but it seems there a still no takers.

While the pair haven't even moved into their first home together yet, they were seen looking at a potential new property over the weekend.

Kim and Kanye were spotted checking out 30 acres of undeveloped land in Los Angeles which would be perfect for building a new home.