How the COVID-19 vaccine rollout will be handled by each of Australia's states and territories Posted FriFriday 19 updated SatSaturday 20 Australia's first coronavirus vaccines will be administered next week. ( Print text only Cancel Australia is on the verge of its COVID-19 vaccine rollout, with states and territories preparing their plans. The first doses of the Pfizer vaccine have arrived, while the Therapeutic Goods Administration (TGA) has given the green light to use of the Oxford University-AstraZeneca jab. Beginning on Monday (February 22), the rollout will be a lengthy process, taking some months and prioritising the most at-risk people. The federal government is coordinating the vaccination of residents and staff of aged care and disability residential care facilities, but everything else will come under state and territory jurisdiction.