Jiang developed a fever on February 20 and tested positive for coronavirus a day later, according to the government statement.
Australia's Department of Health recommends a self-isolation period of two weeks if one has been to China recently or come into contact with an infected person.
The department's advice has not changed, despite the development.
"The Australian Government's response to the novel coronavirus outbreak is evidence-based and proportionate," a Department of Health spokesperson told news.com.au.
"Australian authorities continue to monitor overseas developments closely.
"Our health emergency response arrangements are flexible and scalable, and are being tailored to most effectively respond to the evolving situation."
Seven rescued Australians who left the Diamond Princess, a cruise ship stranded because of a suspected coronavirus outbreak, have now tested positive for the disease.
Three more are awaiting test results.
Globally, there have been more than 78,000 confirmed cases of coronavirus and 2363 deaths.