COVID-19 tests will no longer be necessary for travellers coming into Tasmania from low-risk states, but full vaccination will still be a requirement for entry.
A vaccination mandate exists for health and disability sectors and Mr Gutwein has flagged that other public sectors may also be mandated such as police, fire and emergency services and teachers.
Vaccine passports will also not be necessary for businesses and large events but individual businesses may still choose to refuse entry for the unvaccinated.
The Check in TAS app will have the ability to check vaccination status of individuals.
Premier Peter Gutwein said the state was on track to meet the 90 per cent double dose vaccination rates in early December.

He said this had led to a change in the rules for the 72-hour negative COVID-19 test result for those states which have low community transmission.
"WA, NT, Queensland and SA - I can confirm no 72-hour test will be required in those jurisdictions," Mr Gutwein said.
However community transmission rates in the states means travellers from New South Wales, Victoria and Australian Capital Territory would still require a negative Covid test result before gaining entry into Tasmania.
Mr Gutwein said proof of full vaccination would still be required for entry in Tasmania from December 15 for travellers aged over 12 arriving from all states and territories in Australia.