Anyone in quarantine in Tasmania who has been in metropolitan Melbourne, and who had now been to a specified high-risk premises, will also be able to leave quarantine after midnight.

Public Health director Mark Veitch said the reclassification of Melbourne as a low-risk area followed extensive measures by Victorian health authorities over recent weeks to overcome several outbreaks.

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"Travel restrictions will remain in place for anyone who has been at any high-risk premises in Victoria at the specified dates and times listed," he said.

Dr Veitch has declared a number of premises in New South Wales, Queensland, and the ACT high-risk.

A list of those premises is on the government's coronavirus website in the travel alert section.

Anyone who has been in NSW since 11 June, Queensland since 8 June, or the ACT since 14 June and is now in Tasmania are asked to check the list.

If they have been at either of the listed premises, they are required to immediately self-isolate and contact the Public Health Hotline.

Meanwhile, at a national cabinet meeting on Monday, it was resolved that accessibility and supply of the Pfizer vaccine would be enhanced.

It was agreed appointments for the Pfizer vaccine for people aged 40 to 59, and for people under 40 who were eligible under the terms of Phase 1A and 1B of the rollout, were prioritised.

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