Vaccine rollout co-ordinator John Frewen said enough doses would be available to vaccinate every Australian over 12 from mid-October.

That's almost eight months after the start of the vaccine program, which has come under heavy fire for lagging behind the developed world.

"We are in a period now where we are shifting from any sense of supply constraint," Lieutenant General Frewen told the ABC.

The Morrison government has secured a deal with the European Union for another one million Moderna doses.

It comes after agreements with Poland, Singapore and the United Kingdom for extra Pfizer supplies.

Moderna, which is approved for use for children as young as 12, will be funnelled into pharmacies across the nation.

Bookings for 12- to 15-year-olds will be open from Monday with information translated into 30 languages.

Labor's health spokesman Mark Butler said US and Canada had been vaccinating children for four months while Israel and the UK started three months ago.

"This will be a relief to parents, but parents are entitled to ask why did it take Scott Morrison so long to get to this position?" he told reporters in Adelaide.

More than 11 million doses of Pfizer and Moderna mRNA vaccines will be available in September, with the figure rising to 12 million in October and November.

Lt Gen Frewen is not ruling out using incentives but remains encouraged that public sentiment is overwhelmingly pro-vaccination.

"The best motivators are choice of vaccine, convenience of vaccination and then the freedoms that that will bring," he said.

"We'll keep a range of incentive options open but right now we think people are turning up, people will continue to turn up."

Australia has fully vaccinated 42.3 per cent of people aged 16 and over while 67.4 per cent have received a single dose.

About 1.8 million doses a week are being administered including 328,000 over the weekend.

"What we're seeing is those rates really rise very rapidly across all states and territories," Health Minister Greg Hunt told 3AW radio.

He said Moderna and Pfizer would be for people aged 12 to 59, with AstraZeneca for anyone older.

The national reopening plan aims to get the fully vaccinated rate to 70 and 80 per cent before restrictions are eased.

NSW is planning to grant a range of freedoms to fully vaccinated people when the state hits 70 per cent double-dose coverage despite stubbornly high infection rates.

There were 1257 cases and seven deaths reported in NSW on Monday.

Victoria's 473 infections was another outbreak-high tally.

A smaller outbreak continues to persist in Canberra where there was another 13 cases.

There were two new local cases linked to a Brisbane school but Queensland health authorities remain confident the cluster is under control.

Australian Associated Press