Though Kardashian, 31, and Odom, 35, both signed divorce papers in July, a judgement has not yet been entered into court. As of Wednesday afternoon, Odom is in a coma and remains unresponsive after doctors discovered cocaine and opiates in his system, a source tells PEOPLE.
Following a whirlwind, month-long courtship, the stars tied the knot on national TV in September 2009. The marriage fell apart after the former basketball player's cheating scandal and drug relapse, and Kardashian filed for divorce in 2013. The proceedings stalled when Odom wouldn't sign the papers, and a judge threatened to dismiss the petition all together in April.
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"Lamar and I loved each other deeply, and I don't believe in just acting like that relationship never existed," she said. "Things happened, but that doesn't just stop me from caring about him or loving him."
Kardashian is now dating Houston Rockets shooting guard James Harden.
But a source close to Kardashian and Odom tells PEOPLE that had it not been for his issues, "they'd still be together."
"She's never gotten over it," the source says. "They've always been in touch. she's very worried about him. If he didn't have a drug problem, they probably would have never have split."
With reporting by LIZ MCNEIL