Tasmania will reopen to NSW on Friday as planned, the state government says, removing the need for people to quarantine.
The island state announced last week it was planning to drop border restrictions with NSW on November 6.
Tasmanian Premier Peter Gutwein on Tuesday said the low number of unexplained cases in NSW over the past 28 days makes it safe to reopen.
It means only Victorians will be unable to visit Tasmania, after the state reopened to most of mainland Australia on October 26.
Mr Gutwein said he hopes to open borders with Victoria on December 1, with an earlier shift from mandatory 14-day hotel quarantine to home isolation for arrivals on the cards.
"Case numbers in Victoria are ... very low, with no new cases in recent days and several complex outbreaks appearing to be controlled," he said.
"Victoria is our closest neighbour and home to many Tasmanians' families and friends."
All arrivals are being temperature checked and must take a COVID-19 test if they have symptoms, and isolate until the result comes back.
Tasmania has gone more than 80 days without recording a case.