"I reckon he knows the rules. It doesn't matter whether you're a surfer, or a tennis player, a tourist or anyone else, those are the rules. They apply to everyone," Colbeck told the Age.
"I don't like the chances of him competing in Victoria, and I'd hate to think of what the chances were of him competing in Western Australia."
Slater and surfing world No. 1 Gabriel Medina have not confirmed whether they have been vaccinated. Medina had a previous anti-vax stance but looks to have changed after posting on social media "vaccine saves lives, guys!".
Slater caused controversy for a comment on Instagram last year.
"If something happens to me, it's on me, not someone else," Slater wrote. "And for people saying listen to the doctors, I'm positive I know more about being healthy than 99 percent of doctors."