A Department of Justice spokesperson said between April 1 and June 5, WorkSafe conducted 810 inspections in relation to COVID-19.

WorkSafe issued 10 improvement notices directing workplaces to remedy contraventions to the Work Health and Safety Act but no fines, the spokesperson said.

To date businesses have only had to comply with directions issued by the Director of Public Health but from June 15 workplaces should prepare a COVID-19 Safety Plan to prove they are meeting new minimum safety standards.

Tasmanian Chamber of Commerce and Industry chief operations officer Colleen Reardon said the business community was taking the COVID-19 threat extremely seriously and the fact no fines had been issued showed businesses were doing everything possible to ensure the safety of employees and customers.

"Businesses want to see the economy open up again and they know they have a key role in ensuring we can do that safely," Ms Reardon said.

"We need to take an educative approach with fines as a last resort and continue to communicate safety requirements to businesses and support implementation to keep all Tasmanians safe."

But Unions Tasmania secretary Jessica Munday said the regulator should not be hesitant in issuing fines or taking whatever enforcement measures were appropriate for a breach of the legislation.

"Compliance with workplace health and safety laws isn't optional," Ms Munday said.

"Unions Tasmania has been advocating for specific safety measures to be implemented in workplaces so that we don't see the types of outbreaks we've seen in other states, specifically at the Cedar Meats abattoir and McDonalds restaurants in Victoria."

Ms Munday said it was not good enough for a business to claim they did not know what they needed to do.

"The Tasmanian government has funded the peak business lobby, the TCCI, to provide workplace advice to businesses during the COVID-19 pandemic and the WorkCover Board of Tasmania also funds the TCCI to provide specific work health and safety advice to business," she said.

"This is in addition to all of the easy to understand checklists and resources on WorkSafe's website that make it really clear on what they need to do to comply, plus they have access to WorkSafe's free telephone advisory service."

She said the union had seen both excellent safety strategies put in place but also some poor responses.

"We've been to workplaces that have put up posters about hand hygiene... but then not provided a place to wash or any sanitiser at all," she said.

"Workplaces have put markings on the floor to indicate how far apart visitors or customers should stand but then proceeded to crowd staff together in small meeting or break rooms for shift handover.

"Cleaners have been routinely without adequate PPE and sufficient cleaning supplies."