The former NBA star has been in the hospital for more than two weeks

By Aurelie Corinthios
Updated October 29, 2015 04:50 PM
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Credit: Pacific Coast News

Lamar Odom remains hospitalized in Los Angeles, but he no longer is in the Intensive Care Unit, PEOPLE has learned.

A source tells PEOPLE the former NBA star, though out of the ICU, is still receiving dialysis at Cedars-Sinai Medical Center.

The source adds that in addition, Odom, 35, undergoes daily therapy and has regained some of the gross motor functions that were momentarily lost after his recent strokes.

“After therapy, he is able to take a few steps with help,” says the source. “He is doing very well and continues to be a fighter. He hasn’t given up once, and this will really help him in the future.”

Adds the source: “He still has a long way to go.”

Save for a stopping by sister Kim Kardashian West‘s baby shower on Sunday, Khloé Kardashian has stuck by Odom’s side since he was first hospitalized after being found unconscious at a Nevada brothel on Oct. 13.

RELATED VIDEO: Khloé Kardashian’s Support for Troubled Ex Husband Lamar – in Her Own Words

Kardashian, 31, who has been making medical decisions for Odom, called off their divorce Oct. 21.

“There is no rush,” Kardashian says about deciding not to finalize the divorce. “I’m not trying to get married tomorrow to anybody. It’s just bad timing to proceed with that right now. And also for medical reasons it’s just smarter that gets on hold for a minute. But that does not mean I’m back with Lamar. That’s a whole other thing that only time will tell. I can’t tell you what tomorrow brings.”