Essential workers in Tasmania who have recently spent time in the greater Melbourne area are able to avoid time locked down in quarantine if they wear face masks.
An order signed off by state controller Darren Hine on July 5 states essential travellers from a recognised coronavirus hotspot can attend worksites and shop if they wear the protection.
This rule applies to anyone who has spent time in greater Melbourne within the past 14 days.
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There were 191 new coronavirus cases identified in Victoria on Tuesday.
In the wake of the rise in new cases, Premier Daniel Andrews announced stage-three lockdown for six weeks from midnight on Wednesday for residents in Melbourne.
Premier Peter Gutwein said the government was taking steps to ensure there were stringent rules in place for any Victorians travelling to Tasmania.
"It is my very strong expectation that no Tasmanian business or organisation would be applying for essential traveller exemptions for Victorian workers, unless it is for extraordinary or potentially life-saving situations," he said.
"Any essential workers from Victoria that receive exemptions have legal requirements in regards to their hygiene and movements.
"There are strict COVID-safety work plans which include guidelines for essential workers, and they are monitored for compliance by Worksafe Tasmania."
Labor leader Rebecca White said a review needed to be undertaken on the state's essential worker exemption process to close perceived loopholes.
"The government's approach to granting exemptions for essential workers has been questionable at best," she said.
"Recent steps to require workers coming in from lockdown suburbs in Melbourne to wear masks while in Tasmania are grossly inadequate."
Ms White said community concerns were growing about workers being granted exemptions for quarantine, particularly in light of the worsening outbreak in Victoria. "Currently, people who have been granted essential worker status can enter the state and move around the community without having to be tested for COVID-19," she said.
"All of these people are coming here from Victoria, either through Melbourne Airport or on the Spirits of Tasmania.
"This is a serious oversight that risks undoing all of the good work of the Tasmanian community to eradicate the virus from our state."
Ms White said the government needed to immediately require all essential workers coming from interstate to demonstrate they were COVID-19 free by taking a COVID test before being granted an exemption from quarantine.
Mr Gutwein said public health advice indicated pre-arrival coronavirus testing for incoming travellers for Victoria had next to no value due to the incubation period of the disease and the time it took for a test result to be returned.