The Mersey Community Hospital will be kept COVID-19 free says Health Minister Sarah Courtney.
Ms Courtney said the Mersey was not set up to allow for the separation of COVID-19 and non-COVID-19 patients, as was being done to manage the pandemic in the state's other hospitals.
Coronavirus: All the latest updates on COVID-19 for Tasmania
"It is our hope and our aim to keep the Mersey hospital a COVID-19 free hospital," Ms Courtney said.
Health Minister Sarah Courtney said the decision to reduce the Mersey's emergency department opening hours was based on clinical advice.
"We need to ensure that we are at all times delivering safe health services for all Tasmanians," Ms Courtney said.
She said the hospital relied heavily on locums and many of those staff had withdrawn from working.
"Although we have exemptions for essential workers coming to work in our hospitals, we want to make sure [they] are not coming from COVID-19 positive hospitals," Ms Courtney said.
No further cases of coronavirus were diagnosed in Tasmania on Tuesday with the state's total number of cases remaining at 69.
Two people have died and 11 have now recovered from the virus and are no longer in isolation.
A total of 2218 tests have been done.
In other news:
Investigations into two cases of coronavirus in the Devonport area are ongoing.
Public Health director Mark Veitch the sources of the cases or a link between them had not yet been identified.
"It is now likely when our last checking [is complete] we may be left with a situation where we don't know where these cases came from," Dr Veitch said.
"Even when we reach the point where leads are exhausted the case remains open."
Premier Peter Gutwein said it appeared Tasmania was seeing the end of the cruise ship passenger case spike but this was no time for complacency.
"If this was a game of football, we are not even through the first quarter yet," Mr Gutwein said.
"We are in the battle of our lives. Stay home and follow the rules. Keep your family, keep yourself, keep your community safe."
Mr Gutwein said he made no apologies for the state's tough movement restrictions, including the mandatory 14 day isolation of non-essential travellers in government-controlled facilities.
He said he would get further advice on how the facilities were being managed in terms of giving those in quarantine access to fresh air and exercise.
As of Tuesday, 51 people were being quarantined in the North-West, 66 in the North and 60 in the South.
Mr Gutwein said orders which would support the state's stimulus packages, including preventing rental evictions, would be made in coming days.
A further order will let supermarkets open on Good Friday to allow people access to supplies.
Another order to allow for council business to be conducted via electronic means was also being progressed quickly, Mr Gutwein said.