And Education Minister Jeremy Rockliff said public health advice remained students would in most cases learn from home.

Coronavirus: All the latest updates on COVID-19 for Tasmania

In a statement on Sunday, Ms Ogilvie said with COVID-19 in Tasmania now apparently under some measures of control it was time for the government to get kids back to school by the end of May.

"The current suggestion that parents school their children from home for the remainder of Term 2, another two months, is simply unacceptable at a time when all the talk is of easing most other restrictions sooner than that," Ms Ogilvie said.

"All praise to our teachers and parents, but the reality is students simply can't get the same education at home as they do at school."

Ms Ogilvie said she was particularly worried about children from disadvantaged backgrounds and year 12 students who might be looking to study at interstate universities who would be at competitive disadvantaged compared to mainland students.

"As the Premier himself says, if learning at home was superior to learning at school, we would have dispensed with schools long ago," she said.

But Mr Rockliff said the reason the government has asked for students to learn from home if they could was to limit the movement of people as that was the best way to prevent the spread of the virus.

"School sites are open for students who cannot be supervised or supported to learn from home, for example when both parents have to go to work," Mr Rockliff said.

"Importantly, a recovery team has been established to consider a range of options for the return of students to face-to-face learning at such a time public health advice changes.

"Key focus areas for the team include considering how to best support the needs of priority areas, such as years 11 and 12 and the early years."

Labor leader Rebecca White said parents should follow the advice of the government and keep their children at home for the foreseeable future.

"The only people who should be giving advice to government about whether or not it's safe for children to go back to school are public health officials, not other politicians," Ms White said.

"We know they are taking these decisions in the interest of public health and keeping our community safe."

Ms White said public health had to be the state's number one priority, with the case of a Victorian teacher testing positive to COVID-19 this weekend forcing the temporary closure of a school for deep-cleaning a reminder of how quickly the situation could change.

"We're not through this. It's far too soon for people to start returning to normal," she said.

Greens education spokeswoman Cassy O'Connor said Ms Ogilvie's call to rush open classrooms to all students was unhelpful to already stressed out teachers and parents.

"The most recent Victorian experience should give pause to anyone arguing for the early return of students to crowded school classrooms," Ms O'Connor said.

"In a pandemic, grappling with a deadly virus we don't yet fully understand, maximum caution is required.

"Health experts are also warning of second and third waves of coronavirus infection when physical distancing and other restrictions are relaxed."

Australian Education Union Tasmania president Helen Richardson said the health and safety of the community, including teachers, school staff and health care workers, must remain the first priority.

"Any plans to change the current, clear position for Tasmanian schools should be based on public health advice and developed in consultation with educators," Ms Richardson said.

"The position of the Department of Education and Tasmanian government, based on public health advice, is that children who are able to be supervised to learn at home should continue to stay at home.

"Teachers, support staff and principals have worked extremely hard to prepare for supporting learning at home and they deserve continued respect and recognition."

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