Tasmanian Premier Jeremy Rockliff says it is not the right time for the federal government to end pandemic leave and free rapid antigen test schemes.
Mr Rockliff said on Thursday he had written to Prime Minister Anthony Albanese expressing his concern.
Federal government leave payments for workers forced to isolate with COVID-19 ended on June 30, and a scheme providing free rapid antigen tests to concession card holders stops at the end of July.
"The ending of those programs is not the right time," Mr Rockliff told reporters.
"We're all in this together. Tasmania is well and truly pulling our weight when it comes to supports for the community. We expect the federal government to do the same."
Mr Albanese has defended the timeline of the end of the test scheme, saying it was locked in by the previous federal government.
Federal Health Minister Mark Butler, meanwhile, said he regretted the decision around the payments, adding they had to come to an end eventually.
Tasmania's coronavirus infection rate per capita is the highest in the country, with active cases on Thursday topping 10,000 for the first time since mid-April.
Mr Rockliff wouldn't be drawn on whether there was a trigger point for reintroducing public health measures, such as mask mandates.
"We're not out of the woods when it comes to COVID-19. We've been very clear about that. But what's important is personal responsibility," he said.
The island state recorded one death on Thursday, while hospital cases reached 125, more than double the figure at the start of the month.
The Royal Hobart Hospital on Wednesday announced it could cut elective surgeries and outpatient services because of increasing pressures.
