Public Health director Dr Mark Veitch said the man in his 20s was advised of the requirement to self-isolate between testing and test results but did not comply.

"It is unacceptable for people to continue activities in public or attend work while waiting for their coronavirus test results," Dr Veitch said.

The man was tested for the virus on Friday night but, before returning a positive test late on Saturday, attended public places including working a shift at the Hotel Grand Chancellor.

Dr Veitch said the man had worked several casual shifts at the hotel during the past week and the department was working with the Grand Chancellor to identify circumstances where members of the public may have had casual contact with the man.

"While the risk from casual contact is low, we will provide this additional information to the public later today," Dr Veitch said.

Dr Veitch said the latest case was unrelated to the state's first case of coronavirus, a man in Launceston who tested positive to the virus last week.

The latest case, a student at the Australian Ideal College in Hobart, arrived in Tasmania on February 26 after being in Nepal.

He transited through Singapore and Sydney to Hobart.

The man first experienced flu-like symptoms on February 27 and, after developing further symptoms, contacted the Public Health Hotline on March 6.

He is now in a satisfactory condition at the Royal Hobart Hospital where he was transferred to on Sunday night for isolation and clinical management.

Dr Veitch said the department was identifying and interviewing all close contacts of the man, including those in his home and workplace.

"Four household members have been identified as close contacts and are in self-quarantine. Three non-household friends and one other person have also been identified as close contacts," Dr Veitch said.

"This particular follow-up with this gentleman is complex and very demanding.

"You can expect to hear more details about this case later today and probably over the next couple of days."

Dr Veitch said the department was clarifying the man's flight details and would be determining if his illness posed a risk to others on the flight.

A total of 114 tests have been completed in Tasmania returning two positive results.

Dr Veitch said there may be a substantial number of further infections occurring in Australia over the coming months but it would be more contained than Wuhan province in China, where the virus originated.

If you are displaying symptoms of coronavirus, please contact the Public Health Hotline on 1800 671 738.