Khloe Kardashian has rented a house for her ex Lamar Odom.

Khloe Kardahsian

Khloe Kardahsian

The 'Keeping Up with the Kardashians' star has reportedly leased a home for the estranged husband - who was hospitalised in October after collapsing at a brothel in Las Vegas following a near-fatal overdose - in Calabasas, California, just yards from her own abode in The Oaks.

Sources told gossip website TMZ that the 31-year-old beauty put her own name on the property's lease.

Khloe and Lamar have been hanging out together and he was spotted at her home on Monday (25.01.16).

The reality TV star filed for divorce from the former basketball professional in 2013 after four years of marriage.

But last year she called off the divorce and later explained that the reason was so she could make medical decisions while he recovers, not so they can reconcile.

While Lamar is out of hospital following the near-fatal overdose, Khloe recently admitted the star's short-term memory "isn't so good".

She said: "His long-term memory is great. His short-term memory isn't so good, but I mean if I met someone earlier today I probably wouldn't remember either so I mean that's understandable. But he's great. He's hung out with Kourt's and Kim's kids. He loves family time.

"I think it makes him feel good to be around everyone too and to just be in a happy environment over obviously where he was."