Tasmania has four new cases of coronavirus to add to its tally, with three being health workers from the state's hotspot of the north-west.

Key points: Premier Peter Gutwein will outline a plan at the end of the week for economic and social recovery

Premier Peter Gutwein will outline a plan at the end of the week for economic and social recovery Any progressive lifting of restrictions will aim to protect older Tasmanians, he says

Any progressive lifting of restrictions will aim to protect older Tasmanians, he says As of Tuesday night, 218 confirmed cases have been found in Tasmania

In a statement on Tuesday night, Dr Mark Veitch, director of Public Health Services, said in the 24 hours since 6:00pm on Monday four new cases had been confirmed.

Three of the cases are in the north-west, one is in the north. Three of the cases are women, one is a man.

One is aged in their 20s, one is in their 40s, one is in their 50s, and one is in their 60s.

The confirmations bring the state's total to 218 cases.

Dr Veitch said three cases are healthcare workers from the north-west, and one is a close contact of a confirmed case from the north-west — the region where the bulk of the cases have been found following an outbreak of the disease.

Earlier today, authorities said further testing was underway to determine if a "borderline" test result could be southern Tasmania's first coronavirus case in nearly two weeks.

The potential new case was revealed at the Tasmanian Government's daily briefing on Tuesday morning.

Health Minister Sarah Courtney did not elaborate on the circumstances but said further testing was underway.

"This person has not tested positive, they have a borderline test with an unclear result," she said.

Deputy Director of Public Health Scott McKeown said the person involved had been in isolation during their illness.

He said it was the first time a person had delivered such a result in Tasmania.

"The Public Health Service is currently investigating a person who has an unclear test result," he said.

"We are taking precautionary approach which includes isolation, contact tracing and quarantining."

Pledge to protect elderly

Earlier, Premier Peter Gutwein said increased testing and tracing would be vital as Tasmania emerged from the coronavirus crisis.

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.

Mr Gutwein said he would unveil the plans for Tasmania's economic and social recovery later this week and promised to protect older residents when Tasmania gradually lifted restrictions.

"[I] want to be clear, we made decisions early to ensure we protected our most vulnerable cohort, moved heaven and earth to get on top of it," he said.

"As we step our way out of this we need to do so sensibly and responsibly with [older Tasmanians in mind].

"All of our decisions will be considered through that paradigm.

"I am hopeful there'll be an opportunity in time to lift some restrictions but always have eye to the public health outcome and older cohort.

"We will get to the other side and we will rebuild Tasmania.

"There will be difficult times, tough times, people will want some restrictions off before others."

He said the Government would be guided by the Public Health Service in lifting any restrictions.

On Monday night, Tasmania confirmed two more cases of coronavirus, a man and a woman from the north-west.

One is aged in their 20s, the other in their 60s.

Mr McKeown said there had been more than 700 tests done across the state on Monday, and over 600 in the north-west.

"[I would] really like to see this continue this week particularly in the north-west, but across the state in general," he said.

There have been 11 deaths, 10 of those in the north-west associated with the outbreak at Burnie's two hospitals.