“It’s out in the media that we are back together, but I wish people understood that’s not in our thought process right now,” Kardashian says exclusively in this week’s issue of PEOPLE. “There are too many other important things, too many medical things. It’s not even in our brains thinking about us as a couple or having a relationship right now.”
Odom, 35, was found unconscious in Nevada on Oct. 13 following a drug overdose. He was in a coma for four days and then was transferred to an L.A. hospital on Oct. 19; Kardashian has not left his side throughout.
RELATED VIDEO: The Story Behind the Story of Khloé Kardashian’s PEOPLE Cover
“It’s not anything sexual or intimate,” says the Keeping up with the Kardashians star, 31, of the present situation. “I want to be his support system. Tragedy does make you reassess a lot of things, but when it comes to our relationship, it’s the same, except I’m here supporting him fully.”
• For much more from Khloé, including an exclusive interview and book excerpt in which she talks about the sad demise of her marriage, her body image struggles and the impact Lamar’s problems have had on her brother Rob, pick up the new issue of People, on newsstands Friday
With regard to pulling back on finalizing the divorce, “there is no rush,” says Kardashian, who has been dating Houston Rockets player James Harden, 26. “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.”
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Kardashian’s new book, Strong Looks Better Naked, hits stands Nov. 3.