This follows news that schools in New South Wales have adopted that measure.

Mr Rockliff said if there were school closures in the state for an extended period of time, or should there need to be an extended holiday period, the department would look at other ways to provide education to students, such as through online resources.

Public Health director Mark Veitch said options such as school closures were used as a method to dampen down epidemics.

"But it's also important to recognise that it would be a very disruptive measure for many people, both to the schools, education of children, and for families who have to be there looking after the children," he said.

"So we have to be sure that it's the right measure at the right time so we'll certainly be seeking expertise advice nationally to guide those sorts of decisions."

The person diagnosed as Tasmania's third coronavirus case visited the University of Tasmania's Sandy Bay campus over an eight-hour period on Monday.

This was a day before she had been tested for the virus and asked to self-isolate.

University of Tasmania Vice-Chancellor Rufus Black said he understood the revelation of a positive diagnosis for the woman could cause anxiety for students.

"The university has a clear plan that when there is local transmission in Tasmania, we will move to online delivery of teaching to the greatest extent possible," he said.

Professor Black said the model included rotation of people to work from home where possible and careful management of those circumstances where people need to work on campus.

University of Tasmania safety and wellbeing director director Chris Arnold said there was no need for the university to close or clean at a standard above its normal routine.