Barr also said the cost of the coronavirus pandemic will push back a new Civic Stadium.

Canberra leads Australia in terms of the percentage of the population fully vaccinated, with already more than 54 per cent having had the double jab.

Restrictions are set to start lifting once 70 per cent and 80 per cent targets have been met, with Canberra projected to potentially pass both of those milestones in October.

Barr's hopeful the capital will have more than 95 per cent of its population fully vaccinated.

It's good news for Canberra's football fans, with the NRL and AFL seasons usually starting in March, and Super Rugby in February, it means crowds could be back at Canberra Stadium and Manuka Oval from the start of their respective seasons.

There's been plenty of talk about the introduction of a vaccine passport and restrictions imposed on certain activities - like travel and attending mass gatherings at sporting events and concerts.

But Barr said on Saturday those kinds of restrictions potentially breached human rights and could also be hard to enforce.

It meant he was unlikely to introduce restrictions based on vaccination status.

He said the Check In CBR app was being modified to allow people to download their vaccination status, but it would be optional for people to do so.

While mandatory vaccination would be applicable for people working in certain areas, like the aged-care sector, Barr said it wouldn't go beyond that in the ACT.

Victoria Racing will make vaccination compulsory for everyone working in the industry and the Victorian government was doing the same for construction.

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"We don't think, given the way our vaccination program is tracking, that we will need to create a two-tiered society because we will move so quickly between 70 and 80 and what I hope will end up being 95 per cent-plus double dosed," Barr said.

"There will not be a need to put in place a legally complex, potentially not-human-rights-compliant, nightmare-to-administer burden on business for what could be a three-to-four-week period only.

"It's highly unlikely we'll use vaccination status as the basis in which you would access services."

Barr also said the cost of the pandemic would put the planned construction of a new stadium on hold.

It's the second delay for the planned Civic Stadium after the Mr Fluffy asbestos debacle already delayed it significantly.

"The stadium's still very much at its early conceptual stage and I think people would understand, in light of the current situation, that there are higher priorities at the moment - and we're outside of the footy season anyway now - so I don't think there'll be any news on stadium infrastructure for a little while," Barr said.