A 91-year-old woman has becomes the sixth Tasmanian to die from coronavirus, as the state's overall tally jumped to 165 cases — with all of the 15 new cases known to be from the disease hotspot of the north-west.

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 Tuesday evening, Premier Peter Gutwein confirmed the woman had died — and warned there would be more deaths.

"It is with great sadness I confirm a sixth Tasmanian has died from coronavirus," he said.

"A 91-year-old woman passed away at the Mersey Community Hospital, where she was being cared for.

"On behalf of the Tasmanian Government, I extend my deepest condolences to the woman's family, friends and loved ones."

In a press release on Tuesday night, Scott McKeown, deputy director of Public Health, said 15 new cases had been confirmed in the 24 hours since 6:00pm Monday.

"Fourteen cases are known to be from the north-west of the state and one is still under investigation," Dr McKeown said.

"Seven of the cases are female, eight are male; their ages range from the 30s to 90s."

The remaining case was confirmed as linked to the north-west on Wednesday morning.

Tasmania has 165 confirmed cases of coronavirus, with more than 60 linked to the north-west region. A number of those are health workers.

The area is under increased restrictions, and the North West Regional Hospital and North West Private Hospital in Burnie have been closed.

Patients from the North West Regional Hospital were being sent to the Mersey Community Hospital in Latrobe, with a "limited few" patients sent to other hospitals in the state that can provide the care they need.

Mr Gutwein said the woman's death was a "tragic and stark reminder that this virus can be deadly".

"It has taken lives, and it will take more lives yet," he said.

"We must do absolutely everything we can to contain the spread of coronavirus, and we are taking unprecedented measures to do that.

"I again call on the community – every family, every person in Tasmania – to keep doing the right thing.

"Please, stay home and save lives."