EXCLUSIVE: Lamar Odom Squeezes Kim Kardashian's Hand; Source Says He's Showing 'Slight Improvements'

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While it's still an uphill battle for Lamar Odom, a source close to the former NBA player tells ET that there have seen some glimmers of hope that he could be getting better.

On Wednesday, Odom was placed in a medically induced coma after he was found unresponsive at the Love Ranch brothel in Crystal, Nevada the night before.

WATCH: Lamar Odom’s Grandmother Florence Odom Speaks Out -- 'I Heard He’s Very Sick'

According to our source, there have been a few encouraging moments, including when Odom briefly fluttered open his eyes and at one point Kim Kardashian believed he squeezed her hand.

That being said, ET is being told that the 35-year-old athlete's kidneys are a top concern as they have started to fail him. He has been placed on dialysis as he remains in critical condition.

WATCH: Rob Kardashian Shares Heartfelt Photo of Lamar Odom, Is 'Praying Nonstop'

As of now, ET can confirm that Odom's estranged wife Khloe and her sisters, Kim, Kourtney and Kendall Jenner, have touched down in Las Vegas. The mother of Odom's children, Liza Morales, arrived as well, along with their daughter Destiny, son Lamar, Jr., and Odom's aunt JaNean. 

WATCH: Lamar Odom's Ex and Mother to His Children Breaks Silence, Quotes Tupac

Kim's husband Kanye West was expected at the hospital on Wednesday but it hasn't been confirmed that he landed in Las Vegas. Meanwhile, Kourtney's ex, Scott Disick, has checked into a rehab facility.

While Odom remains in critical condition, the Kardashian-Jenner family are "praying for a miracle to happen."

WATCH: Lamar Odom 911 Call Alleges He Had Used Cocaine, 'Pinkish' Fluid Coming From Nose and Mouth

"They are devastated. They have tried so hard to help Lamar with his issues and it breaks their hearts that he could lose this battle," a source close to the family told ET on Wednesday. "The entire family is pulling for Lamar to make it through this."

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