Australia's coronavirus death toll has reached 74 after three more NSW residents were confirmed dead on Wednesday morning, including a third resident of a western Sydney nursing home.

Operator Anglicare Sydney said the 92-year-old woman at its Newmarch House aged care home in Caddens had tested positive for COVID-19 and also had multiple health issues, although the cause of death is yet to be formally determined.

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A 75-year-old man at St George Hospital and an 80-year-old woman at Gosford Hospital were also confirmed dead.

Their deaths bring the NSW death toll to 31 - the highest number in Australia.

There have been 15 deaths in Victoria, eight in Tasmania, seven in Western Australia, six in Queensland, four in South Australia and three in the ACT.

The Northern Territory remains the only Australian state with no coronavirus deaths.

Anglicare Sydney said it had put strict isolation protocols in place at the Caddens facility where three residents have now died.

"I have spoken personally to the immediate family of the resident to convey our deepest sympathies," Anglicare Sydney's chief executive Grant Millard said in a statement.

Newmarch House is home to about 100 people with 28 residents and 14 staff infected with the coronavirus.

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A worker with mild symptoms entered Newmarch House on six consecutive days, leading NSW Chief Health Officer Dr Kerry Chant to warn even those with mild symptoms should avoid work and get tested.

The woman is the third person from the facility to die after testing positive to the virus following the deaths of two men aged 93 and 94.

On Wednesday morning, Dr Chant announced there had only been five new cases of COVID-19 confirmed in the past 24 hours out of 4000 tests.

Tasmania only detected one new case on Tuesday, while Queensland recorded no new cases.

"That's two zero cases this week," Queensland Premier Annastacia Palaszczuk said on Wednesday morning.

"We are really on track to be smashing that curve."

In NSW, a healthcare worker at St George Hospital, in Sydney's south, also tested positive for the virus, South Eastern Sydney local health district said on Tuesday evening.

"There is no ongoing risk to patients or staff and there has been no impact on hospital services," a spokeswoman for the health district said in a statement.

The healthcare worker immediately presented to a COVID-19 clinic for testing at the first sign of symptoms and all close contacts have been identified and isolated, she said.

It's the second consecutive day in which six new cases have been confirmed.

People in Australia must stay at least 1.5 metres away from others and gatherings are limited to two people unless you are with your family or household.

If you believe you may have contracted the virus, call your doctor (don’t visit) or contact the national Coronavirus Health Information Hotline on 1800 020 080. If you are struggling to breathe or experiencing a medical emergency, call 000.

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