Federal Treasurer Joe Hockey said on ABC’s RN Breakfast show that the proposal would be given thorough consideration.
On August 13, Dan Tehan, who heads the Australian Parliament's intelligence and security committee, said Australia should start bombing ISIL positions in Syria.
ISIL has seized large parts of Iraq and Syria. The group's positions are currently targeted by airstrikes conducted by the US-led international coalition, while Iraqi, Kurdish and forces are fighting the militants on the ground.
Over 100 Australians are fighting alongside terrorist organizations in the Middle East, including Islamic State, while another 150 people are believed to be supporting militant groups from within the country, according to Australian government official data.