According to the New York Post, the altercation occurred after the Opening Ceremony show on Sunday night, September 13, when both stars were in attendance.
Sources explain that as Jessica made her way to the exit she stopped to say hello to someone, when she was unceremoniously barged out of the way by the 18-year-old and her sizable entourage, which included her 25-year-old boyfriend Tyga.
"After the show, trying to leave the venue, it was very crowded. Everyone was in the crush and Jessica had stopped briefly to say hi to someone when all of a sudden from behind came Jenner's bodyguards. They just shoved Jessica out of the way. She just looked astonished!'' sources recount
Another eye witness told the outlet that Jessica 'didn't freak out' over the incident but waited for a few minutes before walking off.
MailOnline claims Kyle and her older beau were already causing a stir at the show, sending photographers into a frenzy wherever they went.
Other stars who reportedly managed to escape getting run over on the night included Kelly Osbourne and Rosario Dawson, Orange Is The New Black star Natasha Lyonne, singers Miguel and Tinashe, and Formula One driver Lewis Hamilton.