Another coronavirus case has been diagnosed in Tasmania overnight, taking the state's tally to 72.

Key points: Tasmania has confirmed three new coronavirus cases in the past day

Tasmania has confirmed three new coronavirus cases in the past day Authorities said in a separate case, two tourists who travelled around Tasmania had later tested positive for coronavirus after returning to their home state

Authorities said in a separate case, two tourists who travelled around Tasmania had later tested positive for coronavirus after returning to their home state A list of locations where the pair visited has been released

Speaking on Thursday morning, Health Minister Sarah Courtney said no further details could be provided about the new case.

Two other cases — the state's 70th and 71st — were confirmed on Wednesday night.

The cases were of a man in his 20s and another in his 70s who had both recently arrived in Tasmania from overseas and were already in self-quarantine, authorities said.

Community transmission of coronavirus has not yet been detected in Tasmania. The source of two separate cases in the state's north, which are so far the only cases in Tasmania that have not been directly linked to travel or contact with confirmed COVID-19 cases, was still under investigation, Ms Courtney said.

Space to play or pause, M to mute, left and right arrows to seek, up and down arrows for volume. Watch Duration: 2 minutes 38 seconds 2 m 38 s What is community transmission?

Public health director Mark Veitch said he believed community transmission was "inevitable" in Tasmania in the "medium to longer term".

"What we want to do is maintain a low number of cases and a low increase in the number of cases," he said.

Premier Peter Gutwein has foreshadowed further measures to be announced on Thursday afternoon.

It comes after authorities on Wednesday night released a list of destinations in the state visited by two interstate travellers who later tested positive for coronavirus.

Public Health Services said it had been in contact with "a number of tourism and hospitality businesses" after being alerted by an interstate health department that two people who travelled in Tasmania last month have subsequently been diagnosed with coronavirus.

Neither person was aware they had coronavirus while they were in Tasmania, authorities said. ( Facebook: Port Arthur Historic Site/Dee Kramer/Above Down Under )

In a statement, the department said the pair "travelled together as part of an organised tour of Tasmania from 12 to 23 March" — and that "neither person was aware they had coronavirus while they were in Tasmania and did not present for either medical care or testing".

The two were "only diagnosed after they returned to their home state", the department said, releasing a list of Tasmanian locations and dates tracking the movements of the pair.

The department said it had determined they visited the following locations:

Hobart Travel Lodge (12-19 March)

Hobart Travel Lodge (12-19 March) Gray Line tour bus from Hobart to Port Arthur (morning of 13 March)

Gray Line tour bus from Hobart to Port Arthur (morning of 13 March) Port Arthur Historic Site and visitor centre (13 March)

Port Arthur Historic Site and visitor centre (13 March) Carnarvon Bay 'Navigators' boat tour (afternoon of 13 March)

Carnarvon Bay 'Navigators' boat tour (afternoon of 13 March) Female Factory Site, South Hobart (morning of 14 March)

Female Factory Site, South Hobart (morning of 14 March) Cascade Gardens, South Hobart (morning of 14 March)

Cascade Gardens, South Hobart (morning of 14 March) MONA ferry from Hobart (1.15pm, 14 March)

MONA ferry from Hobart (1.15pm, 14 March) MONA (1.30 to 4:00pm, 14 March)

MONA (1.30 to 4:00pm, 14 March) Peppermint Bay Cruise and Restaurant (15 March)

Peppermint Bay Cruise and Restaurant (15 March) Freycinet Marine Farm (16 March)

Freycinet Marine Farm (16 March) Kate's Berry Farm (16 March)

Kate's Berry Farm (16 March) Pennicott Cruises on Bruny Island (17 March)

Pennicott Cruises on Bruny Island (17 March) Female Factory, South Hobart (18 March)

Female Factory, South Hobart (18 March) Grape Food and Wine Bar, Salamanca (18 March)

Grape Food and Wine Bar, Salamanca (18 March) Launceston Leisure Inn (19-23 March)

Launceston Leisure Inn (19-23 March) Bridestowe Lavender Farm (20 March)

Bridestowe Lavender Farm (20 March) Pyengana Cheese Factory (20 March)

Pyengana Cheese Factory (20 March) Lease 65, St Helens (20 March)

Lease 65, St Helens (20 March) Batman Bridge River Cruise, run by Tamar River Cruises (21 March)

Batman Bridge River Cruise, run by Tamar River Cruises (21 March) Cradle Mountain Visitor Centre and Waldheim Chalet (22 March)

Cradle Mountain Visitor Centre and Waldheim Chalet (22 March) Ashgrove Tasmanian Farm (22 March

The department said anyone who was at these locations on these days and who developed or develops respiratory symptoms in the 14 days after they were there should contact the Public Health Hotline on 1800 671 738.

Tasmania COVID-19 snapshot Confirmed cases: 226

Confirmed cases: 226 Deaths: 13, 12 in north-west What do I do if I think I have coronavirus? If you think you might have COVID-19 phone your GP or the Tasmanian Public Health Hotline on 1800 671 738. Need an interpreter? Phone the Translating and Interpreting Service on 131 450 and tell them your language. For more information and factsheets: Visit the Tasmanian Government's coronavirus page here.

Public Health Services said it was "working with the tour operator to obtain more specific details about transport taken by the persons while in Tasmania and will provide this additional information as soon as it is available".

"Public Health Services is also sharing this information with communicable disease agencies interstate because it is expected that most close contacts of these cases will be interstate residents," it said.

On Wednesday, the ABC reported new data released by Australian National University's (ANU) Centre for Social Research and Methods had found some populations are more vulnerable than others to coronavirus.

The study found Tasmania had significantly higher concentrations of the health problems linked to COVID-19 deaths.

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