Health authorities say a man in Hobart who contracted coronavirus did not follow instructions to self-isolate, instead going to work at a major hotel and visiting nightclubs.

Key points: Tasmania now has two confirmed cases of coronavirus

Tasmania now has two confirmed cases of coronavirus The new case is a 20-year-old man who travelled from Nepal

The new case is a 20-year-old man who travelled from Nepal Health authorities say the student did not self-isolate as requested and went to his college and workplace

The man in his 20s travelled from Nepal and transited through Singapore and Sydney before arriving in Hobart on February 26, Tasmania's director of Public Health Services Mark Veitch said.

He experienced cold-like symptoms the day after his travels but continued to work and visit his vocational college.

The man worked seven shifts at Hobart's Grand Chancellor Hotel and the hotel's Restaurant Tasman.

He worked as a food and beverage attendant on February 29 and March 1 between 5:00pm and 11:00pm.

Dr Veitch said not all shifts involved contact with the public.

The hotel has contacted staff and students who may have come into contact with the man.

The man was also at Cargo bar and O Bar between 10:00pm and 2:00am on March 6 and spent brief periods in between on Parliament Lawns.

"The risk to diners is low but we do want them to be aware and be vigilant for symptoms in the two weeks after they were dining," Dr Veitch said.

He contacted a telephone hotline on March 6 after developing further symptoms and was tested at the Royal Hobart Hospital that evening.

Dr Veitch said the man was advised to self-isolate between the testing and receiving his results, but he did not comply and "went to work the next day".

Tasmanian director of Public Health, Mark Veitch says the man should not have gone to work. ( ABC News: Alison Costelloe )

Dr Veitch said it was unclear why he did not self-isolate.

"It's our belief that he did understand the requirements," he said.

"It is unacceptable to continue activities in public or attend work while waiting for the coronavirus virus test results."

Dr Veitch also pointed out "there are options to prosecute in the Public Health Act for putting other people at risk".

Four members of the man's household and three friends are now in quarantine for 14 days.

Dr Veitch said health authorities would also further investigate his movements at his vocational college.

"He's a student at the Ideal College in Hobart and has attended the college twice recently and we have been in contact with a staff member of the college and we are engaging with them further over the next day or so," Dr Veitch said.

Ideal College course coordinator Susan Wang said that on March 6 at around 6:40pm, the man arrived at the college with a face mask on and told his trainer he had just had a COVID-19 test and was awaiting the results.

"Given anyone with a suspicion of carrying COVID-19 should be in self-isolation, our trainer requested him to immediately leave the campus," she said.

"He did not have any contact with anyone that day, except with the trainer. The total time he stayed was only around 30 seconds."

She said the man, who studied the advanced diploma of leadership and management, was in brief but close contact with one other student, and far contact with two others.

Ms Wang said the college contacted health authorities straight after the incident and has followed all instructions since then.

The college will reopen on Tuesday.

Public Health will now clarify the man's flight details to determine whether his illness posed a risk to anyone on the flight.

There have been 114 tests for coronavirus in Tasmania to date.

The deputy director of Public Health Scott McKeown said there had been "a very significant increase in testing since the first case was confirmed".

Government may 'strengthen compliance measures'

Health Minister Sarah Courtney said the Government was considering stronger compliance measures to reduce the risk of people spreading the virus.

"We want to see Tasmanians kept safe, kept healthy, so it's unacceptable that you do not follow the advice and indeed today I have asked the director of Public Health for further advice on whether or not we need to strengthen measures to ensure compliance with self-isolation," she said.

"I send a very strong message to Tasmanians, if you have been asked to be in self-isolation, you must comply with that it is very serious and it is very irresponsible if you do not comply with self-isolation."

Greens health spokeswoman Rosalie Woodruff said it was important that authorities got to the bottom of why the man did not self-isolate.

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"Was it a lack of support was it a lack of understanding or was it a lack of will?" she said.

She said more generally, people in rural and remote parts of Tasmania needed clear information about how they would go about self-isolating, should it be required.

"We're concerned that there's not enough direct information for people … about how they'll be able to get food and other services if they're asked to self-isolate.

"Supermarket chains don't deliver to people in regional areas and it is not easy to just drop past a neighbour in Southport or other remote parts of Tasmania.

"I've been called by constituents, I've been stopped in the street by people asking these questions, people are trying to imagine a situation where they're asked to self-isolate possibly with their whole family."

On Sunday, the Australian Ideal College posted information about coronavirus on its website.

The man attended classes at Ideal College's Murray Street campus while he was unwell. ( ABC News )

It did not mention the student who has tested positive but said: "We must take additional precautions for the safety of our students and staff, which is of paramount importance".

The statement said students should not attend the college if they had cold or flu-like symptoms and to contact a GP for a coronavirus test and then to follow their instructions.

"These rules apply regardless of whether you have recently returned from an overseas destination." the information said.

"If you come into the college and are displaying cold/flu-like symptoms, you will be asked to vacate the premises immediately and the health authorities will be called."

The Hotel Grand Chancellor and Ideal College have been contacted for comment.