More than 100,000 people have received their first dose but the figure is well short of what was promised with the rollout in its third week.

The government previously committed to four million people being administered jabs by the end of March and at least one dose being available to all adults by October.

Health Department boss Brendan Murphy said Australia did not have people dying in hospital from the disease like the US or the UK.

"This is not a race," he told reporters on Wednesday.

"We have no burning platform in Australia. We are taking it as quickly and carefully and safely as we can."

Australia has now gone almost two weeks without a case of local transmission.

Australian Medical Association president Omar Khorshid said the government's targets were unachievable.

"Whilst we're clearly not going to meet any target of four million doses by the end of March, we're certainly on track to vaccinating our population by the end of the year," he told Sky News.

In January, Mr Morrison set the four-million by March target which he later clarified to early April after global supply pressure.

Now he says the speed of the rollout is "subject to events".

"Any of these estimates that we give are always subject to the progress of the rollout and the events that we encounter along the way," Mr Morrison said.

"When we're in a better position to give an update on those figures, then we will."

Despite scepticism from experts, the government is sticking to the October population-wide timeline.

Between the Pfizer and AstraZeneca jabs, there are 1.3 million doses of overseas-produced vaccines now in Australia.

Professor Murphy said recent data out of the UK had shown both options were on par after initial studies showed Pfizer was more effective.

"We have two vaccines that are indistinguishably effective," he said.

"We have two brilliant vaccines, really brilliant vaccines, much better efficacy than the flu vaccines we get every year."

About a quarter of the people who have received vaccines are in vulnerable categories like aged care and disability residents.

Dr Khorshid said that focus would allow an easing of restrictions as people in the highest-risk categories were shielded from the disease.

"Once that task is done, the impact of any small or even a large COVID outbreak will be much less and the governments can start thinking about when do we open up," he said.

The AMA president said Australians would face a tough shift to letting the virus in eventually, with it likely to circulate around the world for years.

"There is no way of keeping it out of Australia in the long term," Dr Khorshid said.

He said open international borders would require the population to be fully vaccinated and assurances the jabs were effective against new variants.

Australian Associated Press