Additional restrictions on business trade and services on the North-West Coast will be lifted from May 4.
Premier Peter Gutwein on Friday said non-essential retail trade, hairdressers, big box retailers, and whitegoods stores would be able to re-open.
Coronavirus: All the latest updates on COVID-19 for Tasmania
He said schools will also re-open from Monday
"We are now confident the outbreak on the North-West Coast is now largely under control," Mr Gutwein said.
He said statewide restrictions would still apply, particularly in regards to gatherings of no more than two people outside a household.
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Mr Gutwein said the government would not hesitate to close down businesses and services should there be a peak in coronavirus cases anywhere in the state
"It's fair to say we are getting on top of this and we will be able to look at lifting other restrictions in the future," he said.
Legislation was passed overnight in the Legislative Council to delay the upcoming elections in Huon and Rosevears which were due to be held on Saturday.
Mr Gutwein said it was hoped that the elections could be held in August though this would be reliant on advice from the Public Health director.
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