Premier Peter Gutwein said New South Wales has been considered a medium-risk area and arrivals from the state have either had to quarantine in their primary residence in Tasmania or at a government hotel.

He said Public Health have given further consideration to the state's dealing with coronavirus and decided to classify it has a low-risk area next week.

The state's borders were lowered to South Australia, Queensland, Western Australia, Northern Territory and the ACT on Monday.

Mr Gutwein said systems around arrivals to the state performed to plan.

He said nobody was referred to take a coronavirus test after having their health screened at Hobart airport.

Mr Gutwein said he was heartened to see people reunited through media coverage on Monday.

"The fact there were so many families able to reunite yesterday was a result of Tasmanians doing the right thing," he said.

"But it's important we don't rest on our laurels."