Bruce Springsteen fans who missed out on tickets to The Boss's summer shows have been told to sit tight and wait as more shows may be announced.

Tickets for Springsteen's shows have been snapped up, with concerts in Perth, Adelaide, Melbourne, Brisbane, the Hunter Valley and Auckland sold out within minutes.

Now The Frontier Touring Company - which is staging the concerts - says it is in discussions about adding additional shows, telling fans to be patient and wait for an announcement.

"The demand for additional shows is absolutely massive and we're currently in talks with management to determine where it is possible for additional shows to be added in the run," the chairman of Frontier Touring, Michael Gudinski said.

While all signs point toward The Boss adding more shows to his tour Down Under, where exactly the extra gigs will be is a mystery.

"I'm confident that a lot of the markets will secure another show, although at this point I'm unable to confirm if all markets will. There are numerous logistics and availabilities that need to be factored in, but we hope to have this all finalised very soon," Gudinski said.