Tasmania could open its borders to New South Wales residents on November 2.
In naming a date on Monday afternoon, Premier Peter Gutwein said while there were a small number of new cases emerging in the state each day, spread of coronavirus seemed relatively contained.
He said monitoring of the situation in New South Wales would continue and it was hoped border restrictions would be relaxed from November 2.
Mr Gutwein said that would be confirmed next week.
He said the state remained on track to lower its borders to residents of Queensland, South Australia, Western Australia, Northern Territory and the ACT next Monday.
A new online registration system for potential travellers will be launched on Friday.
People will be able to access the website three days before travel.
Mr Gutwein said travellers to the state will have to undergo health screening at points of entry to Tasmania.
He said anyone who had symptoms would be required to take a coronavirus test and self-contain until a test result was returned.
Mr Gutwein said it was aimed to open borders to Victoria by December 1, or sooner if circumstances within the state improved.
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