Football Federation Australia (FFA) will await the outcome of Sunday night's national cabinet meeting, before deciding on whether to postpone the A-League season.
The game's governing body confirmed it would provide an update on the elite men's competition on Monday.
"The health and wellbeing of the players continues to remain our top priority, and we will not be afraid to make decisions to ensure this, no matter how hard they might be," FFA chief executive James Johnson said.
"We were very comfortable to take the initial decision to allow the leagues to continue with additional measures in place and have worked through several scenarios to facilitate the completion of the A-League season.
"However, we remain under no illusions as to how fluid this situation is, so we will remain agile and responsive to the challenges this pandemic brings.
"We are continuously assessing our position, based on the latest directives and advice from the government and chief medical officer, and in consultation with our national COVID-19 working committee."
The 'Aussie Rules' AFL suspended its men's competition and pulled the pin on the AFLW finals series on Sunday, but the A-League and NRL are yet to follow suit.
The Federal Government has advised against "non-essential travel" within Australia, while state governments are imposing their own restrictions.
From Tuesday, Victoria and New South Wales will shut down non-essential services, while Western Australia and South Australia will impose a 14-day mandatory self-isolation period for visitors.
Newcastle are due to host Melbourne City on Monday, while Perth Glory's match against Western United at HBF Stadium has been postponed.
The round 24 fixture was scheduled to be played on Monday evening, but the Glory issued a short statement on Sunday night, announcing the postponement.
No revised date for the match has been announced.
The league had aimed to quickly wrap up the season through a condensed fixture list that involved games being rescheduled.
Wellington Phoenix and Melbourne Victory's isolation periods - imposed after they travelled to Australia in the week following their clash in New Zealand on March 15 - have delayed their respective fixtures.
The Phoenix are currently based in Sydney, hoping to complete their matches, after their self-isolation ends.