Tasmania is on track to open to low-risk coronavirus states and territories in late October, with a call on New South Wales to be made early next week.
The island state already plans to reopen to South Australia, Western Australia, Queensland, the Northern Territory and Australian Capital Territory on the 26th.
Premier Peter Gutwein announced on Tuesday a decision on NSW would likely be made on the 19th.
"We are continuing to monitor the situation in NSW closely," he said, after a recent cluster in southwest Sydney.
"They are very low numbers in a large population base but we've taken the view ... that we should wait another week (before deciding whether to reopen)."
Tasmania will remain closed to Victoria until at least December 1.
All travellers from low-risk states and territories will have to undergo health screening, including temperature checks, when they arrive in Tasmania.
The state was the first jurisdiction to shut its borders and its last recorded COVID-19 case was more than two months ago.
People travelling to Tasmania from low-risk areas on the Melbourne-departing Spirit of Tasmania ferry can drive through Victoria but are only allowed to stop for fuel.
Mr Gutwein said the state's push to join the New Zealand travel bubble was progressing well, as was setting up international airport facilities in Hobart.
"My understanding is there is very strong appetite from New Zealand to visit Tasmania," he said.
"I think we would meet the requirement for that international airport to remain in place."