Tasmania is expected to lower its borders to people from Victoria on November 27.
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The reopening date had previously been scheduled for December 1.
Premier Peter Gutwein on Wednesday told Parliament Victoria was now considered a medium-risk area due to having no new COVID-19 cases diagnosed for 12 consecutive days.
He said as a result of that, the indicative border reopening date could be brought slightly forward and quarantine requirements for people entering the state from Victoria could change.
"Victoria is our closest neighbour and home to so many of our friends and family. It's been hard for many people, I have family in Victoria as well," Premier Peter Gutwein told parliament on Wednesday.
Victoria has gone 12 days without recording a case, something Mr Gutwein said was an "outstanding result".
"If Victoria's circumstance remains similar to where it is at the moment ... the expectation is in two weeks from Friday, we will be able to fully ease our border restrictions," he said.
From Friday, people entering Tasmania from the state can quarantine at home, rather than in a government hotel.
Travellers from all other states and territories can visit Tasmania without the need to go into quarantine.
- With AAP
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