The first man arrived in Australia on January 6, the second on January 19.
The third man arrived in Sydney on January 20 and began feeling unwell the following day.
NSW Chief Health Office, Dr Kerry Chant said details of the man’s flight will be revealed.
The announcement comes after Australia’s first coronavirus patient was confirmed in Melbourne on Saturday morning.
“I can confirm, we will be releasing the details of the flights associated with the first one of the cases. But for the other two cases, they became unwell, quite a substantial period after the flight in. And so we do not believe that they were infectious at the time of their international flight. All of the cases when they arrived at the border were actually well and develop symptoms subsequent to their arrival,” Dr Chant said.
The symptoms of the new virus are similar to a cold or flu and can include breathing difficulties.
In China, the official death toll from the coronavirus has jumped from 26 people to 41 people overnight.
More than 1,300 people have been infected globally, as health authorities around the world scramble to prevent a global pandemic.
The total number of confirmed cases in China now stands at 1,287, the National Health Commission said in a statement on Saturday.
China Eastern Airlines flights from Sydney to and from the Chinese city Xi’an via Wuhan have been cancelled through to March 29. The airline is contacting affected customers.
“The health and safety of our customers and employees is our number one priority,” a statement from the airline said on Friday.
Janek Drevikovsky is an intern journalist at The Sydney Morning Herald.
Laura is a journalist for The Sydney Morning Herald.