Mr Andrews said yesterday he was awaiting clarification from National Cabinet over the proposal.
Advice is still pending from immunisation advisory body ATAGI.
“This is a three-dose thing,” Mr Andrews said.
“It’s not some bonus, it is not optional. We all need to get three doses.”
So far, 35 per cent of Victorians are triple-dosed, but 2.3 million are eligible.
On announcing the booster shot rollout last year, Health Minister Greg Hunt said the boosters would remain optional, and that two doses would be all anybody needed to be considered fully vaccinated.
However, that was before the dominance of the Omicron variant.
Health officers around the country have since repeatedly stressed that the booster makes the vaccine a far more effective protector against the strain.
Different jurisdictions around the country have mandated a booster shot for essential workers, including people in healthcare and education.
Victoria recorded 13,755 new COVID-19 cases yesterday, and 15 deaths.