Foreign Minister Julie Bishop says Australia will respond to growing tension in Afghanistan if asked but no request has been made.
Afghan troops backed by US air support have launched a counter-offensive to retake Kunduz, a day after Taliban insurgents over-ran the strategic northern city.
It was the Taliban's biggest victory since being ousted from power in 2001.
The Taliban stormed Kunduz on Monday, capturing government buildings, freeing hundreds of prisoners and raising their trademark white flag throughout the city.
US forces also conducted an air strike in Kunduz province on Tuesday, a NATO statement said, without specifying the target.
Ms Bishop said she had spoken to Afghanistan representatives during the UN General Assembly in New York this week.
"Obviously there are concerns about instability and insecurity in Afghanistan," she told reporters on Tuesday (Wednesday AEST).
"We work closely with the other coalition partners there but importantly the Afghan government is responsible for the national security of the country and we will respond, if we're asked. But at this stage we've not been asked to."
The Taliban's incursion into Kunduz coincides with the first anniversary of President Ashraf Ghani's national unity government coming to power.
Kunduz province, which borders Tajikistan and is a major transport hub for the north of the country, could offer the Taliban a critical new base of operations beyond their traditional southern strongholds.
The 13-year International Security Assistance Force mission in Afghanistan ended in January, with the transition to the NATO-led train, advise, assist mission Resolute Support.
The ADF has about 400 personnel serving in what is now known as Operation Highroad, which involves mentoring and advisory roles, force protection and logistical support.
Two Australian Army Officers serve as military advisers within the United Nations Assistance Mission to Afghanistan, which manages humanitarian relief, recovery, and reconstruction in Afghanistan.
Australia lost 41 servicemen during the ISAF mission and a further 261 were injured.
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