"Since Lamar stabilized and moved from the ICU to the inpatient rehabilitation unit, Khloé has visited less," a source tells PEOPLE. "After being by his side 24/7 during his stay in the ICU, it's not strange that she is visiting less. Khloé has behaved like most people do."
Kardashian, 31, remained by Odom's side in the weeks after he was found unresponsive in a Nevada brothel Oct. 13. The former NBA star is currently being treated at Cedars-Sinai Medical Center in Los Angeles.
"It's extremely emotionally draining to have a loved one in the ICU. She gave up her life to make sure that Lamar had everything that he needed," says the source. "Now when he is better, she is smart to allow herself a break."
The stars have called off their divorce proceedings as Odom, 35, recovers. The source says Kardashian's visits have helped improve Odom's spirits.
"Lamar continues to fight and does very well with his therapies," says the source. "He is making slow progress and sometimes is frustrated. Khloé always seem to cheer him up. She made a few short visits over the weekend."
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On Friday, a source told PEOPLE that Odom's kidneys are functioning properly and he is off dialysis.
"There is a very long road ahead of [Lamar]," Kardashian says in PEOPLE's latest cover story. "He has to walk that road by himself, and, most importantly, he has to want to walk that road. I will be there supporting him every step of the way."