The restrictions, which forced the closure of all non-essential businesses across eight North-West and West Coast municipalities earlier this month, are due to expire on Sunday.

Coronavirus: All the latest updates on COVID-19 for Tasmania

Premier Peter Gutwein said, while the restrictions were due to be lifted this weekend, he wanted to ready the North-West Coast for the circumstance they may be in place for another week.

He said he specifically wanted parents to think about how they would manage having their children at home for another week.

"Schools may not be able to reopen across the North-West as previously planned," Mr Gutwein said.

But Mr Gutwein said no final decision on whether to lift or extend the restrictions had been made.

He said later on Thursday health authorities would be working through scenario planning, with a final view to be formed in the afternoon and announced on Friday.

"Our plan has worked so far, however four additional [positive tests on Wednesday] is four too many," Mr Gutwein said.

"The measures taken in the North-West are the toughest that have been implemented in the country and I want to thank the people of the North-West for how they have responded."

Mr Gutwein said national restrictions on which businesses could operate due to expire on May 15 would not be lifted all at once.

"Social distancing will be a way of life in Tasmania for the foreseeable future," he said.

"No one should expect a return to business as usual on May 15.

"Pubs and clubs, because they are a people magnet, will be some of the last to come out of this."

Four new cases of COVID-19 were diagnosed on Wednesday, bringing the state's total to 205 cases.

All four cases were in the North-West.

Two were health care workers, one was a close contact of a previous case and was the close contact of a suspected case, which Public Health director Mark Veitch said would be confirmed today.

"[The fourth case] has a strong link with the [Burnie] outbreak," Dr Veitch said.

91 people have recovered and sadly eight people have died.

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