Tasmania will open its borders to South Australia, Western Australia and the Northern Territory in two weeks' time.
Premier Peter Gutwein has announced a travel bubble with the three jurisdictions will be set up from August 7.
Mr Gutwein says borders with the other mainland states and territories would stay closed because of their higher COVID-19 case numbers.
"We will step back into this carefully and cautiously," he said on Friday.
People arriving as part of the travel bubble will be subject to mandatory health checks and anyone with virus symptoms will be forced to take a test.
If they refuse, they will be ordered into hotel quarantine for 14 days or sent home.
Tasmania has just one active case of coronavirus, a young woman who returned from Victoria about a week ago and tested positive in hotel quarantine.
"Our state, without a doubt, is one of the safest places in the world right now," he said.
"In public health's view, so are South Australia, the Northern Territory and Western Australia."
Mr Gutwein said he couldn't see the border reopening with Victoria anytime in the near future.
He said the island state was taking a cautious approach with Queensland and NSW.
Residents in metropolitan Melbourne are subject to stay-at-home orders and can only leave home for essential work, study, exercise or care responsibilities. It is also mandatory to wear masks in public.
People in Australia must stay at least 1.5 metres away from others. Check your state’s restrictions on gathering limits.
If you are experiencing cold or flu symptoms, stay home and arrange a test by calling your doctor or contact the Coronavirus Health Information Hotline on 1800 020 080.
