The woman, who did not wish to be named, said she got sick while travelling through parts of Asia including Singapore.

Upon arrival to Melbourne, she was met by a masked nurse.

"I was a bit concerned when the airline staff said they're have to bring the authorities on board, I thought maybe we'd have to stay a few hours in Melbourne," she said.

"When the plane landed... a lady came on board with a long green throw away gown and face mask on.

"They brought her straight to me and she spoke to me."

But after some time the woman was allowed to leave the plane as she did not have a temperature and return to Yarrawonga.

She said it was very likely it was just a coincidence she got sick during the international outbreak, but because some of her symptoms - like a hacking cough, shortness of breath and runny nose - were similar to those of coronavirus she thought it was important to get tested.

Earlier this week she attended a local clinic under heavy precautions to be tested.

She was not allowed to enter the clinic, but had to call when she was in the carpark so a masked nurse could accompany her to a private area.

There she underwent a test where the back of her nose was swabbed.

"The doctor was good, they said basically the chance of it being coronavirus was very low, it's just a precautionary measure really," she said.

"I'm pretty confident it's not but in Singapore there's a lot of cases, it's very quiet now.

"When I first arrived it was like Chinese New Year and there were people everywhere... seven days later you could shoot a cannon in the street, there was no one there and everyone was in gowns and masks."

The woman said the whole experience had been bizarre but apart from a few moments of concern she was in good spirits and would find out on Monday the results of the coronavirus test.

"You don't expect it to happen," she said. "But I said to my friends, if its going to happen, it's going to happen to me."

A Victorian Health spokesman said they could not confirm details of individual tests as about 670 people state wide had been tested.

He said of the 670 only four people had tested positive so far and all four had made a full recovery and were out of isolation.