"Again without giving … ah … that's PM Morrison just dialling in as we speak," Ardern said, laughing off the interruption.
She then added: "We are in close contact over the situation. Just the work we are doing on the ground, the situation of our citizens and residents and making sure we keep up those conversations and work together.
"That's what you would expect and that's exactly what we are doing."
In his own press conference a short time later in Blayney, NSW, Mr Morrison revealed he had just spoken to the New Zealand PM about the coronavirus situation.
"I have just spoken just a few minutes ago to Prime Minister Ardern, and seeking to work closely with the New Zealand Government in supporting both their and our nationals who have been caught up in this event," he said.
"Right now, the Australian Government, through our embassy, is looking to deploy, working with the Chinese Government consular officials into Hubei Province, into Wuhan."
About 400 Australian citizens have registered for evacuation from Wuhan, China, the epicentre of the deadly virus.
Five people are being treated in Australian hospitals for the virus after returning from visiting the region, but they are understood to all be in a stable condition.
There are currently 53 New Zealanders in Wuhan, China, where the coronavirus originated.
Ardern said that multiple people had contacted the Government for consular assistance.
Ardern revealed the advice she was receiving from Beijing was that it would be "very difficult to get foreign nationals out of the province even if they are healthy".
Before addressing the topic of the coronavirus, Ardern announced Kiwis would have a chance to vote for their new leader on September 19.
