The Newcastle Jets have confirmed one of their players has returned a positive test for COVID-19.

The A-League club, which played Melbourne City before the A-League postponed its season amid the coronavirus pandemic, says the correct procedures have been followed.

"The player and his family are in good health, and currently in quarantine in accordance with NSW Health protocols," the club said in a statement.

"The health and wellbeing of our players, officials, and the wider community remains our highest priority in this difficult time.

"As per advice from NSW Health, our playing squad are closely monitoring their health and will isolate themselves if they experience any symptoms."

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The Jets said self-isolation would begin for players and staff that required it.

Club chief executive Lawrie McKinna said the player was not showing symptoms and was in good health.

"He was fine, no symptoms whatsoever," McKinna told the Australian Associated Press.

"He has tested positive … the player and his family are in isolation and the rest of the squad don't need to get into isolation.

"Obviously we'll be monitoring the players' health. It's definitely real."

Later on Saturday, Wellington Phoenix confirmed a non-playing member of the club's staff had also tested positive for COVID-19.

"The club is cooperating fully with all the relevant health authorities and is focused on supporting staff, as well as ensuring that all government protocols are being closely adhered to," the club said.

All Phoenix players and staff who had direct contact with the staff member are being monitored for possible symptoms and will be tested if they show signs of infection.

The Phoenix flew home to New Zealand after the league was suspended, having spent more than a week in isolation in Sydney in an attempt to fulfil their remaining fixtures by staying in Australia.

It is unclear if the staff member contracted the virus during that stay, on the flight home, or at a later date.

The A-League suspended its 2019-20 season on Tuesday, following the NRL and AFL's enforced break, saying the decision to postpone the rest of the season with six rounds to go was "very difficult and tough".

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