The state's borders will reopen to COVID-safe jurisdiction from October 26, Premier Peter Gutwein announced on Friday afternoon.
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Mr Gutwein said a COVID-safe jurisdiction was defined as one with either no or a low number of controlled coronavirus cases and one with no evidence of community transmission.
This means that borders would be reopened to South Australia, Western Australia, Queensland, the Northern Territory and the ACT.
"If at any time the situation changes in these jurisdictions and the advice is that the risk is increasing or too high, then we won't hesitate to change this decision," Mr Gutwein said.
New South Wales as of Sunday has no recorded coronavirus cases.
Mr Gutwein said further work would be undertaken by Public Health and the state controller to determine whether Tasmania should be reopened to this state over the next week.
He said he understood from talks with airlines that there would be direct flights from Adelaide, Brisbane and Sydney should the state open to New South Wales.
Demand will dictate whether these flights are available at both Launceston and Hobart airports.
It remains uncertain when the state will be opened up to Victoria though a national aim has been set for all states to be open to one another by Christmas.
Mr Gutwein said Victoria was an important export partner to Tasmania and 60 per cent of interstate visitation to the state came from there.
"I think it would be fair to say that Victoria has improved quicker than most people thought it would," he said.
"I would hope that Victoria would be able to get on top of this to a point where it was safe enough to open up to.
"If it's not safe, we won't be opening to it."
Mr Gutwein said a daily update on the pandemic nationwide provided to him on Sunday revealed the best results over the past six months.
"That filled me with great heart that the country is getting on top of this significant challenge," he said.
Mr Gutwein said he would provide an update on the state's readiness for border relaxation and COVID safety plans, particularly for the health and aged care system, on October 11.
Public Health deputy director Scott McKeown said if new cases of coronavirus emerged in the state after borders reopened, each would be individually assessed as had occurred in the past.
He said the decision on borders was predominantly based on what was happening with coronavirus spread in other states.
Earlier on Friday, a deal had been reached between Australia and New Zealand for flights within a travel bubble within a number of weeks.
There is still a requirement of 14 days in quarantine upon return to either country, however.
Mr Gutwein said the aim was to have international airport in Tasmania, supported by border force, when the travel bubble opened without quarantine obligations.
Labor leader Rebecca White said Friday's announcement on a reopening date would provide comfort to tourism operators and families who had been separated during the pandemic.
She said now Mr Gutwein needed to clearly explain a pathway out of the pandemic.