The state's peak construction union says Tasmanian tradies are putting their lives at risk through working on sites with Victoria workers.
Interstate workers with employers who are able to prove they are essential for services have been able to cross the state's border without needing to quarantine for 14 days.
An order was imposed days ago for anyone who had spent time in the greater Melbourne area - a coronavirus hotspot - during the last 14 days to wear a face mask while in public.
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Victorians outside greater Melbourne suburbs are not required to, however.
Construction, Forestry, Maritime, Mining and Energy Union senior official Richard Hassett said the health and safety of Tasmania workers was being put at risk by essential worker exceptions.
"We've been to plenty of sites over the last two weeks where workers from interstate have been working on those sites with no quarantining," he said.
"They're not wearing face masks. They've been interacting with the general public."
Mr Hassett said Victorian workers were entering the state and performing tasks that could be done by Tasmanian workers.
"Tradies in general are pretty disappointed in what's been going on - having interstate workers put first while plenty of tradies are losing their jobs," he said.
Communications, Electrical and Plumbing Union organiser Chris Clark said there had been a steady influx of interstate "so-called essential workers" since the state's borders had been shut down.
"They're not specialised and they are putting the community and work place safety at risk," he said.
Labor's construction spokeswoman Jen Butler said the party supported genuinely essential workers entering the state to provide support across different sectors.
"But what we dont want to see is an increased health risk through inadequate health requirements on workers who are exempted from quarantine," she said.
If theyre not genuinely essential workers, then what are they doing here?
More than 1200 people in the building and construction sector have lost their jobs since the start of COVID.
"It would be a slap in the face to those workers if the government is allowing interstate workers to come into the state when a local could do the job."
State controller Darren Hine said 10 essential worker applications had been approved over the past five days.
These were for airline staff and specialist skills maintenance workers.
Premier Peter Gutwein said all exemption permits would be reviewed by the State Control Centre.
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