The first doses of Pfizer's COVID-19 vaccine will arrive at the Royal Hobart Hospital on Monday with administration of the vaccine to follow on Tuesday.
The vaccine will first go to quarantine and border workers, including those working in quarantine hotels, aged care and disability care workers, aged care and disability care residents, and some frontline health workers.
Health Minister Sarah Courtney said it was hoped the 14,000 people identified in the first priority group would be fully vaccinated by the end of April.
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Ms Courtney said the people to receive the vaccine next week had been identified.
"We will be making sure that those most at-risk will be targeted first," she said.
"An enormous amount of preparation has gone into this exciting development and I know for many Tasmanians they will be really relieved that we will be able to start this important vaccination program."
The Pfizer vaccine is required to be kept at freezing cold temperatures between minus 60 and minus 80 degrees Celsius.
Ms Courtney said the federal government was responsible for the procurement of appropriate freezers and that process was still ongoing.
"However, we do have a safe and approved method to be able to store those vaccinations," she said.
Vaccination hubs at the Launceston General Hospital and North West Regional Hospital will be opened next month.
Ms Courtney said Hobart was chosen as the first site for vaccinations as many of the state's international quarantine hotels were in Hobart.
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