Premier Peter Gutwein is resisting calls to ease restrictions and open Tasmania's borders earlier than planned, despite Labor and industry bodies pushing him on the issue.
An announcement on borders is due to be made this week, but another outbreak of COVID-19 in Victoria has thrown up more questions.
"I understand the tourism and hospitality sector wants restrictions removed and borders open fully, and I understand the desire to get people back to work. That is why under our staged plan, we are bringing stage 3 restrictions forward by nearly three weeks to this Friday, along with setting a date in July for when borders can open," the Premier said on Sunday.
"We do need to be cognisant of the situation in Victoria where there is now widespread community transmission, which has meant reintroducing restrictions and closing some schools."
19 more coronavirus cases across the Bass Strait have been confirmed in the past 24 hours, Premier Daniel Andrews saying many families are not doing the right thing when told to isolate.
The Tasmanian Chamber of Commerce and Industry and the Tourism Industry Council of Tasmania are among those pleading for the state government to set-up a travel bubble with other jurisdictions that are relatively coronavirus-free.
ABS data shows 20,000 Tasmanians lost their jobs in the past two months.
Hospitality businesses are also calling for the '4 square metres per person' rule to be changed, arguing it's killing many small venues.
Meanwhile, Labor has announced its COVID-19 Recovery Package, to be submitted to the Premier’s Economic and Social Recovery Advisory Council.
Among the list of priorities to reinvigorate the economy; redeveloping the Hobart Showground - which now has bipartisan support.
“The Hobart Showground Renewal Project presents a great opportunity to redevelop the site to provide more than 500 new homes, including affordable housing, community spaces, a new exhibition space and sports field," Opposition Leader Rebecca White said.