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Lamar Odom -- I'm Living Next to Khloe Now ... Thanks To Khloe

Lamar Odom
has a new lease on life ... in Calabasas, thanks to estranged wife Khloe Kardashian.

We've learned Khloe has leased a home for Lamar just blocks from her home in The Oaks, an exclusive gated community. Our Kardashian sources say Khloe's name is on the lease, which makes sense. Lamar is still in no position to sign contracts.

Although Lamar is not living with Khloe, they are spending time together. He was spotted at her home Monday and looked good.

Khloe has vowed to stick by Lamar during his rehab after his near-fatal OD, and she's clearly staying true to her word.