"Sonny's got the World Cup coming up and the Olympics.
"It's something I certainly want to do and the people want to see so hopefully in the future in the next 12 months we'll see it happen."
Meanwhile, Gallen needs to overcome an ankle injury suffered in the Sharks 39-0 NRL semi-final defeat to the North Queensland Cowboys last Saturday before he can commence training for his upcoming fight with Thompson.
His last fight saw him win by unanimous decision over mixed martial arts fighter Randall Rayment at the Footy Show Fight Night in Sydney on January 31.
He fought twice in 2014 and claimed two TKO's, beating Herman Ene Purcell in February, before dealing to former teammate Anthony Watts in one minute and 28 seconds last December.
Prior to that, Gallen began his boxing foray with two amateur bouts in The Fight for Life event in Auckland, scoring a knock-out against former All Blacks hooker Hika Elliot in 2012, and claiming a split decision against current All Blacks loose-forward Liam Messam.