Tasmania will close state-run coronavirus vaccination clinics on August 31, allowing health staff to be diverted to other "priority areas".

The island state's health department says people will need to make an appointment with a GP or pharmacist for a vaccination after that date.

More than 99 per cent of Tasmanians aged 12 and over have received two doses, among the highest rate of any state or territory.

However, more than one in four people aged 16 and over is yet to have a third dose, placing the state in the middle of the pack.

Department of Health secretary Kathrine Morgan-Wicks said the transition away from the clinics, which have also been providing influenza vaccinations, is already under way.

"These changes will free-up nursing staff to work in other priority areas in the Tasmanian Health Service," she said on Thursday.

"The Department of Health will monitor vaccination rates and there will be capacity to provide pop-up clinics if needed in the future."

Pressures faced by the health system have been in the spotlight, with nurses and midwives undertaking strikes at major hospitals in recent weeks over pay and unsafe working conditions.

Ms Morgan-Wicks said 1.4 million COVID-19 vaccinations had been delivered in Tasmania, with state-run clinics accounting for about 45 per cent.

There were 3741 active cases on Thursday, with the figure continuing to trend downwards since a peak of more than 10,000 in mid-July.

There was one new death and 80 people with the virus in hospital, including two in intensive care.