Premier Peter Gutwein says he has not asked if his government colleagues are vaccinated but he expects them all to make "good choices", with a mandate for MPs unlikely.
In Tasmania, all healthcare and aged care workers have been required to be vaccinated, while disability care workers under the National Disability Insurance Scheme are being considered for a similar mandate.
Mr Gutwein said he did not expect mandates to extend beyond those cohorts.
When asked if members of his government had been vaccinated, Mr Gutwein said he had not checked.
"I haven't bothered to ask them, they are all responsible people to make those decisions," he said.
"We haven't mandated that members of parliament need to have a vaccination, but ... they're all responsible people and they'll make good choices I'm sure.
"I would expect members of parliament to be vaccinated, I would hope they would make that choice."
Tasmania passed 80 per cent first-dose vaccination for people aged 16 and above on the weekend, and 65 per cent double-dose vaccination. More than 30 per cent of Tasmanians aged 12 to 15 have received at least one dose.
It left 85,000 Tasmanians yet to receive a vaccination, including 22,000 aged 50 and above.
Health Department secretary Kathrine Morgan-Wicks urged remaining Tasmanians to either book an appointment or attend a walk-in clinic.
"To these 85,000 Tasmanians, throughout October we have thousands of appointments still available in state-run Pfizer clinics and more again at the 105 GPs and 100 participating pharmacies," she said.
"Please don't wait any longer, and get vaccinated now.
"Walk-ins are now accepted at all of our state-run vaccination centres."
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