Speaking to industry journal Automotive News, the president of Subaru owner Fuji Heavy Industries, Yasuyuki Yoshinaga, said a successor to the 2012 BRZ was planned.
Responding to questions about Subaru's future involvement in the joint-venture project with Toyota, Yoshinaga said: "It's not going to be just one generation."
UK representatives of Subaru and Toyota could not give Autocar any official confirmation of the plan.
It seems likely that a second-generation BRZ would again by built in collaboration with Toyota. That joint-venture would not be affected by Toyota's new partnership with BMW, which will spawn a new two-seat hybrid sports car for both parties.
Subaru slashed prices of the BRZ by £2500 earlier this year, bringing the cost of an entry-level model down to just £23,995. Officially, that move was put down to an improvement in exchange rates between the UK and Japan, but it was also understood to be an attempt to boost sales.