The Australian death toll from coronavirus has risen to 37 after the deaths of two men from New South Wales was announced.

Both men were elderly, aged 85 and 86, NSW Health Protection Executive Director Dr Jeremy McAnulty said on Monday morning

It comes a day after it was announced four NSW men had died from the virus, aged between 61 and 91.

The state death toll is now 18.

There have also been a further 57 cases of the virus reported in the state - bringing the total to 2,637.

However, NSW Chief Health Officer Dr Kerry Chant has previously warned that weekends yield fewer confirmed cases due to limited testing capabilities.

There were 87 new cases reported on Sunday morning.

In the video below: Two radiation therapists at Westmead Hospital quarantined

Play Video Two radiation therapists at Westmead Hospital in Sydney's west have been diagnosed with coronavirus sending two cancer patients into quarantine. Two radiation therapists at Westmead Hospital in Sydney's west have been diagnosed with coronavirus sending two cancer patients into quarantine.

NSW Premier Gladys Berejiklian and Chief Health Officer Dr Kerry Chant. Credit: AAP

State Premier Gladys Berejiklian said it was encouraging that numbers were dropping - an indication that gathering restrictions were working as intended.

“Every day we are able to review how New South Wales is going and there is a chance down the track where we can lift the restrictions in some ways,” she said.

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She warned that complacency, however, would result in tighter measures.

“What we don’t want to have to do is go harder... that is certainly something I don’t want to do.”