Tasmania has entered into a travel bubble with three other coronavirus-safe jurisdictions but travellers from New South Wales or Queensland will not be able to enter the state before August 14.
Premier Peter Gutwein on Friday announced the state would lower its borders to South Australia, the Northern Territory and Western Australia on August 7.
He said additional safety measures would be put in place at the state's airports and seaports before then.
This means all passenger arrivals will have to undergo a health check.
Anyone who exhibits any coronavirus symptoms will be required to take a test and quarantine at a hotel or home until the test results are returned.
Mr Gutwein said refusal to take a test would mean that person would need to go into hotel quarantine for 14 days or directed to return home.
Mandatory testing for essential workers from Victoria and hotspot areas in New South Wales will be implemented on July 31.
Mr Gutwein said people who used hotel quarantine from this date would have to pay for it themselves, except in cases of extreme hardship.
The charge would be $2800 for 14 days for an individual or a family rate to be announced next week.
He said Tasmania would not be opened to Victoria any time soon though the situation would be monitored weekly and monthly.
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Mr Gutwein said an update on a border reopening with Queensland, New South Wales and the ACT would be provided on August 7.
However, the borders would not be lowered to these jurisdictions before August 14, he said.
He said this means an AFL game in Hobart between North Melbourne and Melbourne, who have players based in Queensland, will not go ahead.
Mr Gutwein said Public Health could put restrictions on travellers from any location within 30 minutes if required.
Public Health director Mark Veitch said there was still the potential for coronavirus cases in New South Wales to cause a much larger outbreak.
"In the case of Queensland, while the case numbers are low and controlled, we do want to make sure our border processes are well-established," he said.
Dr Veitch said travellers could transit through Tullarmarine Airport in Melbourne so long as they did not leave the airport at any time.
Labor leader Rebecca White said mandatory testing of essential workers needed to be immediately implemented.
Greens health spokeswoman Rosalie Woodruff said the two-week gap between the border reopening gave some level of confidence that coronavirus had not been transmitted to the selected areas.
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