He says thousands of people are still becoming infected with the virus and dying in the UK and the US, so there is an urgency to get vaccinated.

"We haven't lived in that environment, we don't want to," Mr Dutton told the Sky News's Sunday Agenda program.

"There will be hiccups from time to time in terms of the rollout of the vaccine, but we'll work with the states, we'll work with GPs ... as we deal with the virus over this calendar year."

NSW is ramping up its vaccination rollout with the opening of 36 new clinics.

It follows frustration amongst the states about a sluggish Commonwealth-managed rollout, for which they have felt unfairly blamed.

"I would like to see other states and territories get involved," acting Chief Medical Officer Michael Kidd said on Saturday.

Four million Australians were due to have jabs by the end of March, a target missed by more than 3.3 million.

Meanwhile, the AstraZeneca vaccine, which many of those Australians who've been vaccinated have received, has been under scrutiny since a Melbourne man was admitted to hospital with a rare blood clotting disorder.

The man received the AstraZeneca jab on March 22 and is the first Australian known to have developed the illness, which has presented in small numbers of vaccinated people in the United Kingdom and Europe.

Professor Kidd emphasised that the risk of severe illness and death from COVID-19 in the largely unvaccinated Australian population was a "far greater" risk than the "extremely rare" blood clot disorder.

The Therapeutic Goods Administration and Australian Technical Advisory Group on Immunisation have been advising the government's central medical advisory body throughout the Easter weekend with input from UK and European counterparts.

Prof Kidd said an initial TGA review had found it was "likely" that the blood clot disorder was linked to the man's AstraZeneca vaccination.

In Queensland, there were no new locally acquired COVID-19 infection on Sunday and only one among overseas travellers already in quarantine.

"This is all part of our plan with the three-day lockdown to sure that we can get enough people out there tested, identify the close contacts and get them into quarantine to keep everyone safe," state Health Minister Yvette D'Ath told reporters on Sunday.

"This meant that we can open up our economy, we can enjoy Easter and it is wonderful to see that our tourism operators are recording record numbers."

But Mr Dutton, a federal Queensland MP, hopes such lockdowns and border closures are a thing of the past.

"It is incredibly disruptive and it makes it very difficult for people to be able to plan," he said.

"We want jobs growing, we don't want that diminishing, we want to make sure that's people's businesses are viable, particularly over the coming months and the closure of borders in a kneejerk way doesn't help that."

Australian Associated Press