Deputy Premier Jeremy Rockliff has warned of the dangers of a second wave of COVID-19 if Tasmania's borders open too soon.
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He said advice would be taken from public health before an announcement on re-opening borders is made by the Premier on June 26.
"We need to ensure that all the great work that's been done by Tasmanians and health professionals is not undone," Mr Rockliff said.
"We recognize that we need to do all we can to support our economy through the easing of restrictions. But it is also important that we don't go back and risk a second wave of COVID-19.
"We will naturally be easing our restrictions over time. It may well be to some states or more states, but we have to take that public health advice and be absolutely certain that we are not risking a second wave of COVID-19."
Mr Rockliff said he recognised that the tourism and hospitality industry had been one of the hardest hit industries.
"But we need to ensure that we do this in a very measured way and a way that is backed up by evidence that supports any opening of borders so we don't risk going back a few steps, which, of course, would be even more detrimental to all small businesses across Tasmania," he said.
Mr Rockliff urged Tasmanians to holiday in their own state.
"And why wouldn't you? We are the best state in Australia. We have the most wonderful natural assets to enjoy," he said.
"I'm sure there are a number of Tasmanians that haven't explored every inch of the state and they need to because we have so much to offer.
"We have school holidays coming up and if there are any opportunities for me to take a few days break then I'll be holidaying in our own wonderful state."