The Keeping Up with the Kardashians star, who has been dating West for several months, discussed the couple's romance during an appearance on The View on Wednesday.
Asked by host Barbara Walters if she wants to marry West, Kardashian replied: "Technically I'm still married. [But] anything I'd be in now would be a permanent relationship."
Pushed to clarify if that applies to her relationship with the 'Perfect Bitch' rapper, she answered: "I hope so. I believe so."
Kardashian also discussed her desire to start a family in the not-too-distant future and believes having children is on the cards.
"At the space that I am in life now, kids are definitely something I want. I think I wanted that before. I think I fell in love so quickly and wanted that to be my life so badly but I just didn't take the time to find someone," the 31-year-old explained.
West recently rapped about Kardashian's sex tape in his new song 'Clique'.
Watch the video for Kanye West's 'Lost In The World' below: