Ghobadi, 24, told Star magazine that she met Kanye during a concert on June 6, 2012 after his bodyguards picked her out from the audience to meet him for drinks after the show.
She added that they've have been seing each other for nearly a year and have had two sexual encounters, one of them while Kim Kardashian was pregnant.
According to the model, Kanye told her that his relationship with Kardashian -- who is due to deliver his baby in July -- was "just for publicity" and to "increase his fan base."
Ghobadi added that Kanye tried to get together with her as recently as last week.
"This is going to destroy the Kardashian family," Ghobadi told Star. "It's bad. It's really bad. It's just embarrassing. But if I were Kim and about to have a baby, I would want to know."