Chris Weeks / WireImage 1 / 12
Chris Weeks / WireImage 1 / 12

Rapper Kanye West's busy schedule kept him from romancing socialite Kim Kardashian, according to the reality TV star's sister Khloe.

RELATED: Did Kim Kardashian Dis Demi Moore Using a Devo Ditty?

The true nature of West's friendship with Kardashian has been swirling around the gossip blogs for years, and West's ex-girlfriend Amber Rose recently claimed the relationship was a factor in their 2010 split.

Now Khloe Kardashian has shed some more light on the gossip and she insists Kim is not romantically involved with West, but they almost become a couple at one point.

During an appearance on DJ Sway's Shade 45 radio show last week, she said, "They were talking and trying to go on a date here and there, but it just didn't work out."

RELATED: Matchy-Matchy Couples

And Khloe isn't ruling out a romance in their future, because she is convinced they would be well suited.

She added, "I know they hung out, but I know it's never gotten to there (turned romantic) ... I genuinely think that because we have so much in common -- like our families, losing parents and we do have a lot of connections -- I think that if they were to go there, it would be a long relationship."

Twice-wed Kim is currently in the midst of a divorce after splitting from basketball player Kris Humphries after just 72 days of marriage.

RELATED: Celebs With Bad Habits