Authorities say six new cases of coronavirus confirmed in the last 24 hours have pushed Tasmania's COVID-19 tally to 80, as police warn the public they will be on patrol to ensure strict measures are followed.

In a statement on Friday night, acting director of public health Dr Scott McKeown said the latest cases involved five women and one man.

"Two are from southern Tasmania, two are from northern Tasmania, and two are from the north west.

"Two are aged in their 20s, one is in their 30s, one is in their 50s, one is in their 60s and one is in their 70s."

Further information about the cases will be released later.

The update comes on the day police warned the public they would be patrolling in order to enforce social distancing around Tasmania this weekend, urging those attending produce markets to "buy what you need and then go straight home".

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.

In a statement on Friday, Tasmania Police said "by now, everyone knows what they must do", as part of the statewide effort to prevent the spread of coronavirus.

"Our message to everyone is this weekend, please stay home. Don't go to your shacks on the East Coast or Bruny Island — you will be bringing unnecessary risk to those small communities," Acting Deputy Commissioner Jonathan Higgins said.

"For those people worried about security of their properties, be reassured that police will be undertaking additional patrols in those areas."

Acting Deputy Commissioner Higgins said people wishing to inspect their properties in areas that had heavy rainfall over the past 24 hours should instead "consider asking a friend who is there to check".

"If you must go, then limit your time there."

Earlier, police announced two more people had been charged with a "number of offences including COVID-related offences".

A 40-year-old man and 46-year-old woman were intercepted while driving in separate incidents on Thursday, with both charged with a number of offences including failing to comply with the direction of the Director of Public Health.

Meanwhile, Tasmanian authorities have further relaxed coronavirus testing criteria in the northern town of Devonport, where the origin of two cases is still unknown.

All but two of the state's cases have been linked to travel, or contact with a known COVID-19 case.

Earlier today, Mr McKeown said the investigations into the origins of the two cases, both detected in Devonport, were "nearing completion".

He said "intense contact tracing processes" were being undertaken, and that there were "a number of final pathways or links" being explored.

Dr McKeown said anyone in Devonport who presented with coronavirus symptoms would be able to be tested.

"We're implementing a process of testing in the community called sentinel testing in which five general practices and the Mersey Community Hospital will undertake testing of anyone presenting with suggestive symptoms," he said.

"To get a sufficient number of tests, that will take into next week before we're able to provide publicly any information of our findings."

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University leg-up for locals

The University of Tasmania will offer Tasmanian Year 12 students places in its courses based on teachers' recommendations, to try to reduce pressure on students whose studies are disrupted by the coronavirus pandemic.

After Easter, Year 12 students at state, Catholic and independent schools can pick five preferred courses.

UTAS vice-chancellor Rufus Black said the university would invite teachers to recommend students whom they believed could succeed at university.

Rufus Black says teachers will be asked to recommend students they believe will succeed at university level. ( ABC News: Mitchell Woolnough )

"Anybody who applies through this program will get an offer from the University of Tasmania," he said.

"So long as they finish Year 12, they'll either be offered a course, one of the five they've selected, or they'll be offered a pathway course to enable them to get where they want to go."

The scheme will not include medicine and allied health courses.

Government confirms students to learn at home in term two

Meanwhile, Education Minister Jeremy Rockliff confirmed students would continue to learn at home where possible in term two.

The school term in Tasmania finishes today, five days early, and teachers will next week have student-free days to prepare for online and at-home learning delivery.

Mr Rockliff said term two would start on Tuesday, April 28, with a student-free day on the Monday to further prepare teachers.

Students will still be able to attend school if they need to.

"If your circumstances mean you're unable to support and supervise your child's learning at home, we will provide a safe learning environment for them at school," Mr Rockliff said.

Earlier this week, the Government said the physical school attendance rate had dropped below 10 per cent.

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Premier flags prolonged public gathering restrictions

Since Tuesday, Tasmanians have been under strict rules governing their movements and public gatherings — an enforcement of a National Cabinet decision restricting gatherings to two people and requiring that people stay at their residence unless they are travelling for essential reasons like work or school.

Premier Peter Gutwein today flagged that the four-week timeframe on those restrictions could be extended.

"It could be longer than [four weeks] and I want to ready Tasmanians for that," he said.

He said Tasmania's daily increase of coronavirus cases, at about 5 per cent, was below the national average of 7 per cent, and said it was important the community continued to adhere to social distancing measures.

Mr Gutwein also encouraged Tasmanians to "be kind" to each other, especially on social media.

"If you see somebody out there working, it's not an opportunity to abuse them and tell them to get into their home," he said.

"Accept that they have a job to do, a family that they're looking after, and importantly essential services that they are maintaining for us."

Mr Gutwein is today attending another National Cabinet meeting, which started at 10:00am (AEDT).