Khloe Kardashian may have called off her divorce from Lamar Odom, but she'd like the world to know they're not "together," either — except in the sense that she'll be there to support him through the difficult recovery from an October 13 overdose at Nevada's Love Ranch South brothel.

The reality star talked to PEOPLE in a story published today (October 28), clarifying misconceptions about the fact that she's still technically married to the former Lakers player. "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 told the magazine. "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."

Khloe has often been by Lamar's side through his coma and subsequent transfer from Nevada to an L.A. hospital. "It's not anything sexual or intimate," she maintains. "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."

At the time of Odom's overdose, Khloe had been dating Houston Rockets player James Harden — though the fact that she's in "no rush" to finalize her divorce while her ex navigates his challenging recovery may complicate things. And she's okay with that: "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."


For Khloe's full interview, check out the new issue of PEOPLE on newsstands this Friday.

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