The snap three-day lockdown in Hobart and Southern Tasmania will end at 6pm on Monday as planned but masks will still be required until at least Friday.
Premier Peter Gutwein confirmed on Monday morning that Public Health had confidence it had prevented any further spread based on contact tracing and testing.
There were 1463 tests on Sunday and no further positive results had been returned. Of the almost 170 close contacts, just six tests were left to come back.
Current mask restrictions will remain, however.
They include anyone in the 12 council areas - south of, and including, Central Highlands, Glamorgan Spring Bay and Southern Midlands - having to wear masks both indoors and outdoors when away from their residence, apart from when driving alone or exercising vigorously.
Anyone leaving the council areas and heading north will need to wear a mask.
The announcement means restaurants and pubs in the South can reopen, but attendees must wear masks except when eating or drinking. One person per two-square-metres restrictions for venues will return.
Restrictions will remain on visits to aged care facilities and hospitals, including visitor numbers and length of visits.
Public Health will provide an update on Friday morning to confirm if the mask mandate would end that evening, based on continued testing and contact tracing.
Mr Gutwein said the high testing levels and no further cases were pleasing.
"We're on top of this," he said.
"As of tonight, at 6pm as per the plan, the lockdown will be lifted.
"Importantly, the testing numbers continue to be high.
"We are effectively snapping back, apart from there will be a need to wear masks until 6pm on Friday."
Mr Gutwein said the state's reopening plan was set to be released later this week, which would outline how the state would handle borders reopening and any restrictions for further outbreaks.
Director of Public Health Mark Veitch said the snap lockdown was taken out of an abundance of caution, but there had been no initial consideration of a week-long lockdown.
He said the mask mandate was a cautious approach in case of the worst case scenario.
"There remains a small risk that we haven't got absolutely everybody identified who had some contact with this person," Dr Veitch said.
Police happy with compliance levels
Tasmania Police Deputy Commissioner Donna Adams said she was pleased with the public's response to the lockdown.
From 9am Sunday to 9am Monday, police issued 13 cautions and three fines, including for refusing to wear a mask and people not having a valid reason to leave their residence.
Police checked just under 500 vehicles in the 24 hours, with 37 vehicles turned around.
When asked about the Premier's earlier comments about the potential for increasing the penalty for the 31-year-old man who brought COVID into Tasmania, Deputy Commissioner Adams said police act in an "autonomous" way.
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