The government announced last month it would allocate 15,000 humanitarian and family visa places to Afghan nationals over the next four years.
But according to Home Affairs figures, immigration authorities had already received 32,000 primary claims for humanitarian visas by last November, representing well in excess of 100,000 people applying.
Mariam Veiszadeh from the Afghanistan-Australia Advocacy Network said the government's response was not proportionate to the crisis.
"We spent two decades in Afghanistan as part of the military campaign - it is our moral duty to bring as many people to safety as we can," she said.
The Taliban surged back to power in Afghanistan in September 2021 after two decades of fighting US-led coalition forces.
According to the UNHCR, more than 600,000 people have fled the country since January 2021, and another 3 million Afghans are internally displaced.
Rev Tim Costello, who will also be part of the delegation, called on the government to allow an additional 20,000 refugee places for Afghans over the next two years.
The group will meet with politicians in Canberra, including Immigration Minister Alex Hawke.
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