The ACT will be one of the first jurisdictions to give the Pfizer vaccine to everyone aged 30 to 39, with the territory government to open up bookings at its clinics from Tuesday.
Half of adults in the ACT have now received at least one dose of a COVID-19 vaccine, which dramatically decreases their risk of developing serious illness from the disease.
More than a quarter of adults in Canberra will have been fully vaccinated by the end of the week.
The newly eligible cohort of Canberrans rushed to sign up for their vaccines on Tuesday morning, overloading the booking system as of 8am.
One ACT resident said he received a text message inviting him to book at 7.21am and was told the queue was full at 7.36am.
"To help you book, we limit the number of people who can book appointments at the same time. The queue is full. Check back later," ACT government wrote.
Chief Minister Andrew Barr said he wanted the territory to retain its position ahead of the national average as the vaccine rollout continued.
"Vaccines are the only way out of this pandemic. There is no other viable alternative to protect yourself and the people around you from very serious illness. There is no other alternative to ending the lockdowns and the travel restrictions that have impacted on our lives," Mr Barr said.
But the ACT government said it was keeping an open mind about vaccination incentives, with vaccination passports ruled out until all residents have been eligible for a jab.
More than 20,000 ACT residents aged 30 to 39 have registered for an appointment with the online MyDHR system, a process which was opened up two weeks ago.
There are 70,000 people in the ACT's 30- to 39-year-old cohort, but some 16,000 have received their first dose in earlier vaccine rollout phases.
ACT Health will from Tuesday contact all those who have registered for an appointment to encourage them to make their booking. Anyone in the age range will be able to make a booking, regardless of prior registration.
More than 40 per cent of the Australian population aged over 16 has received one dose of the vaccine, while 19.23 per cent has received two doses.
Tasmania is the only other jurisdiction currently offering Pfizer vaccinations to people aged 30 and over, after the state moved to expand its rollout on Friday.
The national cabinet on Friday agreed to an 80 per cent national vaccination target before Australia can reopen and economically damaging pandemic restrictions can end.
Restrictions will ease in stages once 70 per cent of eligible Australians are vaccinated.
Mr Barr said he was slightly more optimistic the ACT could achieve an 80 per cent vaccination target than Australia could nationally.
"The ACT has a strong vaccine take-up, and we will continue to offer vaccinations to Canberrans as quickly as possible, subject to supply from the Commonwealth. It's likely that the ACT will continue to be above the national average on vaccination take-up," he said.
Meanwhile, the ACT's Health Minister said health authorities would need to consider the human rights implications of preventing people from participating in events based on their vaccination status.
Rachel Stephen-Smith said access to international travel would clearly depend on vaccination status, but the implications of other restrictions would need careful consideration.
"Then there's a community conversation to be had around what it means for other activities within the community. You can absolutely guarantee that there will be some businesses who will determine that they will allow people to do some things on the basis of a vaccination status and not other things," Ms Stephen-Smith.
Venues NSW and GWS Giants chairman Tony Shepherd told Sydney's 2GB on Monday morning he would push for vaccination as an entry condition for NSW stadiums from next year.
"Why should people who have been vaccinated be compromised by having to sit next to people who are unvaccinated? I think it's a sensible precaution," Mr Shepherd said.
"I'm not forcing people to get vaccinated, it's entirely up to them. If they want to watch the cricket, they can watch it on TV if they don't want to have a vaccination."
But ACT Health is not considering using so-called vaccine passports while there are people who have not been eligible for a coronavirus vaccination.
Countries with more advanced rollouts - including Israel, the United Kingdom and the European Union countries - have moved to introduce vaccine rules which allow greater freedom of movement to people who have been fully inoculated.
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Prime Minister Scott Morrison on Monday said the national cabinet was actively considering how vaccinated Australians could be exempted from future restrictions, under later stages of the plan agreed to on Friday.
"That plan is now being worked on by Northern Territory, Victoria and Tasmania. They're bringing back a series of proposals to us that would give that greater detail," Mr Morrison told Adelaide radio station 5AA.
"But there's a reason for that. And it's got nothing to do with politics or freedoms or anything like that. It's just simple. If you're vaccinated, then you're less of a public health risk."
An ACT government spokeswoman left the option open for vaccine passports in the future once the vaccine rollout had reached all eligible residents in the ACT, but stressed current event rules managed safety requirements.
"ACT Health has a robust events protocol in place which ensures events can be conducted safely. The Covid safe event protocol provides advice to event organisers on how to host larger events in the ACT, up to 10,000 people," the spokeswoman said.
"The protocol is constantly being reviewed and updated to provide the most current advice to event organisers."
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