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Lamar Odom, Leaves Hospital, Khloe Kardashian, Exclusive

FameFlynet/AKM-GSI

Khloe Kardashian is sticking by Lamar Odom's side.

The E! star, who has not left the athlete's bedside while he was in Sunrise Hospital & Medical center the past week, continued to be by the former Los Angeles Lakers player after he was discharged from the Las Vegas facility and transported to a Los Angeles-area hospital on a helicopter. The 31-year-old was photographed departing the hospital, wearing all-black loungewear, sunglasses and her hair in a messy bun.

E! News has learned that while Odom's recovery is still very much ongoing, he is now speaking in full sentences and can swallow and eat food on his own. Odom is currently being treated for aspiration pneumonia.

"You can tell it's taking a toll on Khloe, but she is staying strong for Lamar," we're told.

Meanwhile, a source previously told E! News, "She goes everywhere with him. If Lamar leaves the room for testing, she follows."

Lamar Odom, Leaves Hospital, Khloe Kardashian, Exclusive

FameFlynet/AKM-GSI

Lamar Odom, Leaves Hospital, Khloe Kardashian, Exclusive

FameFlynet/AKM-GSI

E! News exclusively reported on Monday evening that Odom was given the OK to leave the Nevada hospital and head to California to continue treatment.

As we reported earlier in the day, Odom's transfer to L.A. was dependent upon his condition remaining stable. Doctors were in the early stages of working out the logistics of how the athlete would be transported to SoCal, because his stature previously prohibited him from being airlifted in a helicopter.

Lamar Odom, Leaves Hospital, Khloe Kardashian, Exclusive

FameFlynet/AKM-GSI

Khloe Kardashian, Lamar Odom, Cedars-Sinai Hospital, Exclusive

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Lamar Odom, Leaves Hospital, Khloe Kardashian, Exclusive

FameFlynet/AKM-GSI

E! News reported that the former NBA player's health is improving day to day, but the 35-year-old celeb is going to need "a lot" of rehab in the coming months. Lamar is "making fast progress" and can move his arms and legs, but he is not able to stand up, even with assistance. A CT scan came back clean, but there may be some cognitive issues ahead.

Though Lamar is still on dialysis due to kidney failure, he is showing signs of improvement. The athlete is no longer wearing an oxygen mask and is "doing great with his breathing."

Khloe Kardashian, Lamar Odom, Cedars-Sinai Hospital, Exclusive

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For more details on Lamar's current health, how Khloe is helping him recover and what the next steps are for him, be sure to tune into E! News at 7 p.m. and 11 p.m. tonight, only on E!