Premier Peter Gutwein says a vaccination mandate is being considered for all Tasmanian public sector agencies, in addition to aged care, disability and health workforces.
Mr Gutwein said the government was in the process of updating a risk assessment for each public agency to determine which employees are in higher risk roles, due to community risk and need for continuity of service.
He said public vaccinate mandates would bring Tasmania into line with private employers around the country, such as banks, telecommunication companies and supermarkets.
"Once this risk assessment is completed we will move to mandate vaccinations to ensure we have the highest possible coverage of the public sector to protect our employees, protect the continuity of central services, and to protect our community," Mr Gutwein said.

"We are not covering our government businesses...but I will be writing and expressing to them that they take similar steps in ensuring they conduct a risk assessment and they meet their health and safety obligations as an employer."
Mr Gutwein said the risk assessments are currently being undertaken for police, front line fire and emergency services and teachers, and agencies that had forward public facing roles such as Service Tasmania.
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"Public Health is supportive of this approach but final determination of risk will be based on the risk assessments and implementation will be by a direction from the employer."
He said 670 major employers around Australia had adopted vaccination mandates.
Tasmania Police have already been encouraging its workforce to get vaccinated, but have not yet implemented a vaccine mandate.
Almost 90 per cent of police and emergency service employees have had at least their first dose.