Protections for residential tenants introduced because of the COVID-19 pandemic were due to expire on June 30.

Building and Construction Minister Elise Archer said this timing would bring the state in line with the expiry of similar protections in other jurisdictions which moved on this later than Tasmania.

"Ours do not currently extend for the six month period agreed by National Cabinet," Ms Archer said.

"We want to stress this is not an opportunity to avoid paying rent. We strongly advise tenants to keep paying their rent if they are able to do so."

Ms Archer said minor changes would be made to the protections to allow for the issuing of a notice to vacate for a lease of no fixed period in the event of sale of property, major renovations or for the owner or a close family member to move into the property.

"Existing exemptions to the protections, which allow for termination for unlawful use of a property or for wilful damage and violence, will remain in place," she said.

Ms Archer said, given the easing of COVID-19 restrictions in Tasmania, the Residential Tenancy Commissioner would shortly issue a notice which would remove the restrictions on rental inspections from June 30.

"Significant protocols have now been put in place to ensure social distancing and personal hygiene measures are implemented for all residential tenancy inspections," she said.

The Tenants' Union of Tasmania welcomed the extension of the moratorium but raised concerns about other aspects of the announcement.

"The government's decision to allow evictions where the landlord is undertaking significant renovations, is selling the property or has a family member moving in may see some landlords rely on these reasons in circumstances where the real reason is rent arrears," union solicitor Ben Bartl said.

"We are also concerned that the relaxing of rules around rental inspections may place tenants at increased risk".

Meanwhile, Labor housing spokeswoman Alison Standen has called on the government to act swiftly on a recommendation made by a parliamentary inquiry into housing affordability in February to pause the issuing of new permits for short stay accommodation.

Ms Standen said the government needed to ensure properties that had moved from the short stay sector into the private rental market during COVID-19 stayed there.

But Premier Peter Gutwein said the government's way forward in terms of solving the state's housing affordability puzzle was to build more houses.

Mr Gutwein noted there were more rental properties on the market right now with the short stay accommodation sector not immune to the impacts of COVID-19.

"It will be a matter for the owners of those properties whether or not they want to remain short stay or if they want to come back to a more traditional rental model," he said.