Tasmania's third case of coronavirus spent a day at a university campus in Hobart before being tested but health authorities say the risk of transmission is low.
The woman, aged in her 30s, flew into the country from South America and tested positive to the virus on Wednesday night.
She had arrived in the state on Sunday night and spent Monday and Tuesday morning at the Morris Miller Library at the University of Tasmania's (UTAS) Sandy Bay campus.
"The risk to other members of the public ... is very low," state Public Health Director Dr Mark Veitch said.
"But anyone who was at that venue at the time and feels unwell in the 14 days after this Monday should contact the public health hotline."
UTAS Vice-Chancellor, Professor Rufus Black, has urged students and staff to continue life as normal.
"There is no need for the university to close or clean any of the settings above their normal routine," he wrote in a statement.
He said the university has a plan to move to greater online teaching if there is a case of coronavirus transmission in Tasmania.
Authorities are trying to contact people who sat near the woman, who is now in a stable condition in hospital, on a Jetstar flight from Sydney to Hobart on Sunday.
She is the third person with coronavirus in the state after a 40-year-old man in Launceston and a man aged 20 in Hobart. Both remain in hospital.
Four specialised coronavirus clinics have been set up across the state.
Health Minister Sarah Courtney wants Tasmanians to be vigilant but said the risk of people catching the virus through casual contact was low.
"We want Tasmanians to get on with life and to continue enjoying the things they do," the said.
Organisers of the midwinter festival Dark Mofo this week cancelled the 2020 event due to coronavirus fears.