Many aged care providers, such as Westmont, have been satisfied with their vaccination roll-out.

Carolyn Moxey, manager of quality systems, administration and training at the Baranduda facility, said vaccinations had taken place on time.

"The majority of our residents have been vaccinated, with the small minority that missed out or weren't here, being followed up in the next couple of weeks," she said.

North of the border, Mercy Place Albury has completed its vaccinations with all residents who consented having received their first and second round Pfizer injections over a three week period.

The federal government, through its primary health networks, is responsible for the phase 1a program covering frontline health care workers, aged care and disability care staff, and aged care and disability care residents.

Phase 1b, for adults aged over 70, began through GPs and government-funded respiratory clinics on March 22.

As of this week, second doses have been given in 1088 aged care facilities in Australia, less than half of the number of facilities registered as at 2018.

Two weeks ago, it was revealed in a Senate committee that fewer than seven per cent of disability care residents had received their first jab.

Mercy Connect in Thurgoona supports fewer than 100 people with disabilities living in accommodation and chief executive Trent Dean expects they will receive vaccinations soon.

"We operate group homes within NSW and we've been in close contact with the relevant departments at state and Commonwealth levels," he said.

"There were a range of requests for information earlier in the year to indicate how many residents in those facilities we had, and that information was provided.

"We've received not only from the Commonwealth, but through disability provider alerts, that this program would kick off basically now, in early May."

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Mr Dean, who received the AstraZeneca vaccine recently, declined to comment on the roll-out's timeline but said vaccinations for those most at risk should be at the forefront leading up to winter.

"Everyone's trying to do the right thing in a very challenging, unprecedented time and this is a public health approach that's far exceeding anything else before," he said.

"I can't stress the importance of vaccinations in the public health response.

"I believe that vaccines are incredibly important and the benefits of them well and truly outweigh any risks involved."