The change will become mandatory from midnight Friday, and means travellers who have arrived from Victoria since July 8 will have to wear a face mask in public and are asked to avoid large social gatherings and unnecessary visitors.

The direction is expected to be in place for five days, according to Public Health.

Premier Peter Gutwein said the "rapid escalation" increase in exposure sites in Victoria led to the directions.

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Acting Director of Public Health Dr Scott McKeown said a small number of those travellers had been at an exposure site where a case had been infectious, but the case had not yet been diagnosed and the location had not yet been deemed an exposure site.

"There may be people within our community that have been contacts of cases and there may be a case within the community that we have yet to identify," he said.

"It is very important that Tasmanians continue to practice the COVID-safe behaviours."

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Public Health was working on contact tracing those people and asked all Victorian returnees to monitor the exposure list on the coronavirus Tasmania website.

The travellers were also asked to monitor their symptoms and contact the Public Health Hotline if they developed mild symptoms.

Dr McKeown said the normal face mask exemptions would apply such as a medical certificate, being under 11 years old and eating or drinking.

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He recommended all Tasmanians create a COVID-safety kit at home including items like tissues, face masks, hand sanitiser and to download the Check-in Tas app.

Mr Gutwein said the state government continued to closely monitor the situation with other states.

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Tasmania continued to lead the states in vaccine coverage, with 42 per cent of Tasmanians having received one dose and 18 per cent of Tasmanians fully vaccinated.

Across the state, 2295 COVID-19 tests had been recorded since Tuesday, with 537 of those in Launceston.

Additionally, 28,000 venues were now registered with Check-in Tas with 435,303 check-ins on Thursday across the state and 10.8 million check-ins within the system overall.

There had also been no positive cases or evidence of transmission from the Launceston General Hospital nurse who had tested positive to COVID on arrival in London.

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