Dr Chant said there would be increased testing this week in areas where there have been COVID-19 cases with no known origin including Sydney's Inner West,Waverley,Woollahra,Randwick,Ryde,Penrith,Liverpool,Blacktown,Cumberland and Westmead.

The Premier also said the state government was considering a bailout for Virgin Australia.

Ms Berejiklian said the state government was focused on creating and saving jobs as part of NSW's financial recovery from the coronavirus crisis. One option could be helping Virgin Australia if it relocates its operations to Sydney.

NSW Treasurer Dominic Perrottet said there had been"significant discussions"with the cash-strapped airline regarding a financial lifeline on the grounds it agreed to base itself at the new Western Sydney airport.

"Virgin should have their headquarters for both Virgin and Tiger in Sydney,"Mr Perrottet told Sky on Sunday night.

But he downplayed a feud with Queensland over a potential rescue package for Virgin Australia.

"We are not in a fight with Queensland,we are in a fight to keep people in jobs and business in business,"Mr Perrottet said on Monday.

"If the Queensland government is in a position to provide material support to Virgin at this particular time,they should go ahead and do it.

"We believe it’s in the best interests of NSW and the nation to have a competitive airline industry."

Mr Perrottet's comments come after the Queensland government warned NSW to"back off".

Queensland's State Development Minister Cameron Dick said he would"fight any attempt by NSW to steal Virgin Australia from Queensland to Sydney."