But the actor, who shot to stardom after The Mountain killed Oberyn Martell in season four, says he "can't wait until the next fight comes up".
Coming into another trial by battle, Bjornsson says "you could expect some blood ... and some kills".
Pushed on whether The Mountain will kill more than once, Bjornsson offers only a "maybe".
Either way, becoming a killing machine on Game of Thrones has opened doors for Bjornsson, who is considering cutting back on competing as a professional strongman to focus on acting.
The 27-year-old had no acting experience when he started, calling it "a big step in a different direction", but says he's improving each year.
"I still have my focus on strongman, I still have a few goals left to see through before I go fully into acting," he says. "But I definitely see myself going more into the acting world."
He's been doing a bit of commercial work, including a Heavy Bubbles sparkling water ad, that has gone viral.
Bjornsson is also set to play Big John in Icelandic Viking movie Zon 261 later this year, as well as Psycho Phil Bell in the upcoming Devilish Deeds.
• Game of Thrones screens today at 1pm and 8.30pm on Sky Soho, and streams via Neon.