The Loaded singer was performing with his band at the Caribana festival in Crans-pres-Celigny on Thursday (02Jun16) when he slipped and fell into the crowd from a stack of speakers.
Bobby was carried away from the event on a stretcher after the incident, which occurred 40 minutes into their set and forced the rockers to abandon the rest of their performance.
According to Britain's NME magazine, the festival's presenter reassured fans, telling them: "We are taking good care of Bobby."
Editors at the music publication report that Bobby only sustained minor injuries in the fall.
A message posted on the band's Twitter feed on Friday (03Jun16) read, "Thanks everyone who has asked about Bobby, we're waiting for more news but hoping to be back on the road as soon as we get the all clear."
The 53-year-old musician had jumped on to the speaker stacks several times before taking the tumble.
The Caribana festival, which takes place on the shores of Lake Geneva, has already featured gigs from bands including Garbage, Jungle, James Bay and The Kooks and will see acts including James Morrison and Crystal Fighters perform before it closes on Sunday (05Jun16).
Providing Bobby recovers in time, Primal Scream are scheduled to resume touring in support of their new album Chaosmosis at the Azkena Rock Festival in Bilbao, Spain on 17 June (16).
A representative for the band has been contacted for an update on the singer's condition, but had yet to respond at the time of WENN going to press.