As the state recorded three more fatalities and more than 1100 new locally-acquired COVID cases overnight, Brad Hazzard revealed his concerns about vaccine stocks.

"Simply, there is not enough Pfizer in New South Wales or anywhere in the two major states - New South Wales or Victoria - for the people who are now wanting it," Mr Hazzard said.

"We're certainly asking the Federal Government to try and get us more Pfizer vaccine.

"It's a worldwide pandemic, the federal government is doing their damnedest to get the vaccines and when they get it to us, we'll get it into arms," Mr Hazzard said.

He urged adults to consider getting the AstraZeneca jab but told people under 16 their best option was to "look around" for Pfizer supplies.

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With two-thirds of the state's population having received a first dose of vaccination, NSW Premier Gladys Berejiklian urged those yet to get the jab to make it their goal for September.

"Once we know that you've signed up to your first dose we know that you'll be getting your second dose," Ms Berejiklian said.