Tasmania's third case of coronavirus has been identified as a woman in her 30s who travelled to Australia from South America - an area not considered as high-risk.
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Public Health director Mark Veitch on Thursday said the woman was on flight JQ727 on Sunday night.
He said passengers in rows 13 to 17 on the flight from Sydney to Hobart have been identified as close contacts and been advised to self-quarantine for 14 days as a requirement.
Dr Veitch said these people would be contacted daily by the Public Health Services.
He said other passengers on the plane were deemed casual contacts and would be contacted by SMS or email to inform them to contact the Public Health Hotline if they felt unwell in the 14 days after the flight.
"The risk to these other passengers is very low," Dr Veitch said.
Dr Veitch said the woman had visited the University of Tasmania's Sandy Bay campus on Monday, March 8, during which time she visited the Morris Miller library between 9.30am and 5.30pm.
He said the risk to other people at the library at this time was also very low.
Dr Veitch said the woman exhibited respiratory symptoms upon her return to the state and was tested on March 10.
A positive diagnosis for the virus was confirmed late Wednesday.
Dr Veitch said she was in a stable condition in the Royal Hobart Hospital.
He said the Tasmanian Health Service was looking at the capacity of its hospitals, the likely number of cases to emerge over the next weeks or months, and reconfiguration of the Launceston General Hospital and RHH to cope with an increased number of cases.
Dr Veitch said Tasmanians who wished to travel overseas should consider checking the World Health Organisation's website which provided updated information daily on the number of positive virus diagnoses in particular countries.
He said anyone who exhibited respiratory systems two weeks after travelling from anywhere overseas were advised to have themselves tested for coronavirus.
"We can't really be certain that coronavirus isn't anywhere right now," Dr Veitch said.
A new respiratory assessment clinic has been set up at Allambi House on Howick Street near the LGH to replace a mobile clinic at the hospital.
The clinic will operate for seven days from 10am to 6pm.
People who need to be tested need to either contact their general practitioner or contact the Public Health Hotline on 1800 671 738 for assessment before they access the clinic.