Premier Peter Gutwein has given a clear message to people looking to visit Tasmania: "don't come".
"Don't come to Tasmania," Mr Gutwein said.
Coronavirus: All the latest updates on COVID-19 for Tasmania
"We are an island that is built on tourism and visitation so it hurts me to say that.
"If you do come, you will go into self-isolation for two weeks. It's that simple."
From 11.59 pm on Sunday March 29, hotels and other accommodation including caravan parks will be closed except for use by essential travellers, workers or permanent residents.
"We don't want non-essential presence in Tasmania," Mr Gutwein said.
"I'm sorry to say it but go home."
Mr Gutwein implored Tasmanians to do what they could to work with the government on practicing social distancing and adhering to isolation rules.
"I will go to [a hard lockdown] if the advice is that we should but I want Tasmanians to know it's not two weeks, it's not four weeks - it could be six months," he said.
"If we get to that point it will wreck economic havoc on this state.
"Tasmanians, please, please, do the right thing as we move forward.
"If you don't need to go out, don't go out. If you don't need to go to work or you don't need to go to get supplies - stay home."
In other news:
When asked if Tasmania should follow the lead of New Zealand and go into a hard lockdown now for four weeks, Mr Gutwein said he did not think it was likely New Zealand's lockdown would only last a month.
Later on Thursday, Mr Gutwein will be announcing a second state stimulus package to tackle the social and economic fallout of the coronavirus pandemic.
Mr Gutwein said a package of $420 million which was already announced combined with the package today would total about $1 billion in support.
"Never before has the state had to take steps of this magnitude," Mr Gutwein said.
Mr Gutwein said after consulting with Tasmania Police Commissioner Darren Hine on Thursday morning, to date there had not been any flagrant cases of people flaunting self-isolation rules but said anyone doing the wrong thing would be subject to penalties.
There are now 42 confirmed cases of coronavirus in Tasmania.
Health Minister Sarah Courtney said of the six new cases diagnosed on Tuesday, three of these cases were in the North, two in the South and one in the North-West.
Ms Courtney said there was still no evidence of community transmission in Tasmania.
"All the cases were either directly or indirectly related with overseas travel," Ms Courtney said.
She said, while there may be no evidence of community transmission, this did not mean Tasmanians should relax on the rules.
Public Health director Mark Veitch said there were 240 Tasmanians from various cruise ships impacted by COVID-19 who were being monitored in isolation.
"There's another 80 people who are close contacts of cases or airplane cases who we have under active monitoring in self-isolation," Dr Veitch said.
"There's also monitoring of several thousand people who have come through the border [since the new border measures started]."