"The hurt won't ever really go away," Kim shared with with Andy Cohen during a special episode of Watch What Happens Live! on Tuesday.
The Real Housewives of Beverly Hills
star got candid about the conflicts she's had with Kyle, admitting that she's got to move on from the past before she can think about a future with her younger sister
"There's certain things she's done towards me that I personally have to put aside if I want to move forward," Kim explained.
According to Kim, there was a period of time in which she couldn't bring herself to return her sister's phone calls.
"She called and reached out to me and I wasn't ready. So I said to her, 'I have to put those things aside and if you want to move forward, that's what you need to do too,'" Kim shared.
Through it all, Kim says she's interested in rebuilding their relationship, no matter how "sad or mad" their feud has made her, adding, "I missed her."
"The last time I shared my recovery with the world, that it became no longer mine. It was the public's," Kim said. "So this time, in my recovery, I've decided to keep it for myself."