The rapper has teamed up with DJ Khaled for new cut 'I Wish You Would/Cold', which was unveiled earlier this year.
The accompanying music video - directed by Hype Williams - sees West performing the track in a narrow and brightly back-lit corridor.
Kardashian makes a cameo during West's rap professing his love for her and dissing her ex-husband Kris Humphries.
"And I'll admit, I had fell in love with Kim/ Around the same time she had fell in love with him," he trills, adding: "Well that's cool, baby girl, do ya thang/ Lucky I ain't had Jay drop him from the team."
Meanwhile, West recently confirmed that his new album Cruel Summer - which features his GOOD Music label artists - will be released on September 4.
Watch the music video for DJ Khaled and Kanye West's 'I Wish You Would/Cold' below: