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Two members of a Melbourne family have tested positive after returning from NSW on red zone permits.

The state's COVID Commander Jeroen Weimar said three of the family of four from the City of Hume arrived on July 4 by air and the other returned by car on July 8.

They all initially tested negative but two became symptomatic and were tested on Sunday, with the results coming back positive on Monday.

Contact tracers are also on high alert after at least one member of a three-man removalist crew who travelled through Victoria and SA from NSW tested positive to the virus.

Another family from Whittlesea in Melbourne's north who had contact with the COVID-infected removalist has so far tested negative.

They relocated to Victoria from interstate and tested negative on July 9.

Mr Weimar said the family remain in isolation and will be tested again on Monday.

Contact tracers are working to establish the removalist's movements, though it is believed he travelled from Sydney to Melbourne via the Hume Highway and worked at several homes in the city before travelling to SA.

NSW Health alerted Victoria's authorities late on Sunday night.

Mr Weimar said another of the three removalist crew members may have also turned positive.

Removalists are permitted workers under the state's border permit system.

It comes after Victoria recorded its 12th day of no locally acquired cases and the state effectively shut the border to NSW and the ACT overnight, declaring them red zones under the travel permit system from 11.59pm on Sunday.

NSW reported 112 new local cases on Monday, its highest daily total since the Bondi cluster emerged on June 16.

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NSW has recorded 112 new local COVID-19 cases, with the state's premier admitting it is "almost impossible" for Greater Sydney and surrounds to exit lockdown anytime soon.

Of the 112 cases in the 24 hours to 8pm on Sunday, at least 46 were out in the community for part or all of their infectious period.

"Family or close friends, unfortunately, bear the brunt of those 112 (cases) we have seen overnight," Premier Gladys Berejiklian said on Monday.

"If you put yourself at risk, you're putting your entire family - and that means extended family, as well as your closest friends and associates - at risk."

NSW has now recorded almost 680 COVID-19 cases in the community since June 16, when the Bondi cluster first emerged.

There are 18 COVID-19 patients in NSW in intensive care, with four ventilated. In total, 63 people are in hospital.

Australia on Sunday reported its first COVID-19 death of 2021 - a 90-year-old southwest Sydney woman believed to be unvaccinated. The woman was a close contact of another locally acquired case.

Her death is the first since the Bondi cluster emerged on June 16, and the first connected to COVID-19 in NSW since a man died in December.

Ms Berejiklian on Monday also said the government would further ramp up its vaccination drive, with the AstraZeneca jab to be made available to all people aged over 40 at mass vaccination clinics.

All NSW pharmacies will also be able to dole out the AstraZeneca jab to over-40s.

A new mass vaccination hub will also be established at Fairfield in southwest Sydney, where local COVID-19 transmission is a significant concern.

NSW Health late on Sunday advised of multiple new exposure sites in Fairfield and Fairfield Heights, including a number of medical centres and pharmacies.

Ms Berejiklian on Monday said it was "almost impossible" for lockdown orders in Greater Sydney and surrounds to be lifted as scheduled on Friday.

"Where the numbers are, it is not likely - in fact, almost impossible - for us to get out of lockdown on Friday," the premier said.

"The length of the lockdown will depend on our ability to come together and to follow the health advice."

A "graphic" COVID-19 advertisement began airing on Sydney television screens on Sunday to highlight the seriousness of the disease.

In the ad, a young woman in a hospital bed gasps for air.

The state and federal governments, meanwhile, continue to nut out additional financial aid for businesses as the Greater Sydney lockdown drags on, although an announcement will not be made on Monday.

The state government has already committed $1.4 billion for businesses.

Police Minister David Elliott said officers would be acting in the coming days with less discretion, fining more people for lockdown breaches.

Some 105 infringement notices were issued by NSW Police on Sunday.

"In the last couple of days, (police) have been working with particularly those communities that don't listen to mainstream media and maybe haven't got the message," Mr Elliott told the Nine Network on Monday.

"The days of excuses will soon end."

Meanwhile, the NSW Education department is shipping 7000 laptops and 5000 dongles to more than a thousand schools across the state for students about to start term three by online learning due to the lockdown.

Last year, the department shipped more than 13,000 devices and 8000 dongles to support students learning from home.

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Victoria is on high alert after a man from NSW with COVID-19 travelled through the state and South Australia while infectious.

The man, who is a removalist, stayed overnight in Victoria on Thursday before driving to South Australia and later returning to NSW, where he tested positive for COVID-19 on Sunday.

Victorian Health Minister Martin Foley said NSW Health alerted the state's authorities late on Sunday night.

Contact tracers are working to establish the man's movements in Victoria, though it is believed he travelled from Sydney to Melbourne via the Hume Highway and worked at several homes in the city before travelling to SA.

"We would expect there will be exposure sites and we expect there will be people who require to quarantine," Mr Foley said.

Removalists are permitted workers under the state's border permit system.

Mr Foley said the risk of the virus spreading from NSW to Victoria was "very real".

"Our friends in Sydney are facing really challenging circumstances, and we wish them every success in their fight," he said.

"This is now the third incursion into Melbourne and Victoria as a result of this outbreak, we've run the other two down."

It comes after Victoria recorded its 12th day of no locally acquired cases and the state effectively shut the border to NSW and the ACT overnight, declaring them red zones under the travel permit system from 11.59pm on Sunday.

ACT Chief Minister Andrew Barr said it was "incredibly disappointing and frustrating" Canberra was classified the same as Sydney, despite recording no community cases of COVID-19 for more than a year.

But Mr Foley said the rationale behind the decision was "simple".

"The ACT ... is essentially surrounded by regional NSW," he said.

NSW reported 112 new local cases on Monday.

Victoria's acting chief health officer cited concerns about the risk of coronavirus transmission beyond Sydney and surrounding areas for the decision.

The border closure announcement was made just after 4pm on Sunday, giving little time for people to return on their existing orange zone permits.

But Victorian authorities had been foreshadowing a blanket NSW red zone declaration for days, encouraging residents to return home urgently.

Victorians in NSW will still be allowed to enter the state but must isolate at home for 14 days.

In addition, the Victoria-NSW "border bubble" arrangement will remain for local residents, though they must carry proof of address and stay within the bubble.

© AAP 2021