Premier Gladys Berejiklian said NSW has administered "around 100,000" doses of the 300,000 doses the state was asked to deliver.
The debate came as the NSW areas of Byron, Ballina, Lismore and Tweed were put on "extra high alert" with new social restrictions until the end of Easter.
"It is our very strong preference that if you live in any of those four local government areas, that you don't travel outside those areas", Ms Berejiklian told reporters on Wednesday.
"With our precautionary expert deep clean now complete, and with the support of NSW Health and local police, we feel confident to safely reopen our doors", the statement read.
One of the new cases is linked to an infected nurse from Princess Alexandra Hospital.
Queensland on Wednesday also defended its decision to withhold vaccines to ensure healthcare workers receive their second dose, claiming there has been no certainty of supply from the Commonwealth.
"The states have been tasked with this responsibility, we all have a responsibility and a role to play and you just have to do it".
A Princess Alexandra nurse was among the first cases identified in Queensland's latest Covid outbreak.
According to federal figures, NSW had used only half of the 190,610 doses it had received, and Queensland was at 55 per cent.
A "large number" of staff from the hospital at the centre of Brisbane's coronavirus outbreak have been asked to self-isolate, sparking fears of disruptions to services.
Queensland's Chief Health Officer Jeannette Young has said that "people should be on alert, no matter where they are in Queensland".
"So we just need to work out how she got it".
"She does work on the ward and she was tested as part of the asymptomatic screening testing process for that ward and was found to be positive".
"The health minister is following exactly her own advice and I encourage everyone else, if you have any symptoms as well, to please do the same and go and get a test".
The women were among four new locally-acquired cases reported by the Queensland on Monday morning, plunging Greater Brisbane into a three-day lockdown.
After these phases, the federal government is scheduled to take over the entirety of the vaccination program.
Greater Brisbane will find out at 9am on Thursday whether or not the lockdown will be extended over the Easter period.
Queensland Premier Annastacia Palaszczuk and the state's health authorities are due to decide on a possible extension of the lockdown this evening, but previously warned a further escalation of cases could see the directive pushed back. The signs are very encouraging and I want to thank everybody involved in this...
The siblings were at the northern New South Wales holiday destination between March 25 and 28 while they were infectious, before they tested positive to the virus.
"That is a massive, massive number".
"This is devastating for Bluesfest and all the artists, crews, managers, promoters and music industry workers who had critical work coming", music rights management organisation APRA AMCOS said on Twitter. I think the figures speak for themselves.
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