Tasmania's doctors have warned now is not the time to re-open the state's borders.
AMA state president John Burgess says Premier Peter Gutwein should not announce a date for at least a couple of weeks.
Mr Gutwein is under pressure from business and the tourism sector to announce a date this Friday.
But Professor Burgess said Tasmania needs a clear strategy and plan for re-opening borders and it would be "devastating" if borders re-opened and there was a new wave of COVID-19 in the State.
"It is not appropriate to reopen borders at present," Professor Burgess said.
"The government should review our borders on a monthly basis.
"Rather than a fixed date - which could be weeks away- we need to make sure that people who are coming in do not pose a risk and are prepared to do the things the way we do here.
"We also need to know how many travellers will come. We need to look, learn and be patient and not complacent.
"We have seen with Victoria that they had low numbers two weeks ago and now have a substantial issue on their hands."
Professor Burgess said the key was to balance people's lives and their livelihoods.
"It is a balancing act as we look at the socio-economic and economic impacts and we are balancing two sides of the one coin," he said.
The AMA was pleased Tasmania had flattened the curve but warned against complacency.
"When talking about a second wave (of coronavirus) in reality it depends whether it would be a tsunami or a breaker on the beach," Professor Burgess said.
"We would have to stop it getting out of hand.
"We've done well but we've seen what happened with our North-West hospitals who had to close what can happen. We can't be complacent.
"We can't afford a substantial second wave - it would be devastating."
A Grattan Institute report this week also warned that coming out of lockdown too soon risked a second wave of infections.
The report, by Dr Stephen Duckett, said Australia has not yet won the battle against COVID-19.
He said a second wave of mass infections would mean lockdowns would have to be reimposed.
"Grattan Institute modelling shows that reopening shops, schools, and workplaces heightens the risk of new infections, especially if people think the threat is over and ignore social distancing rules," Dr Duckett said.
"It's dangerous for people to think this fight is over. The nature of the virus hasn't changed - our behaviour has.
"If Australians go back to a pre-COVID normal, the virus could spread quickly and wildly, like it has elsewhere."