Australian Prime Minister Tony Abbott has reportedly made a surprise visit to Baghdad for talks on helping Iraq in its fight against the Islamic State terrorist group.

According to ABC news, Abbott met his Iraqi counterpart Haider al-Abadi to discuss Australian involvement in the fight against against the militant outfit. Stressing on the Australia's commitment in the fight against the Jihadist group, he said.

"We are determined to deepen our cooperation with the government and the people of Iraq in the weeks and months to come, not because we are a country which goes forward, seeking foreign fights, but because where our vital national interests are threatened, where universal values are at stake, Australia should be a strong partner."

Australia is part of the US-led coalition carrying out air strikes against IS in Iraq and has deployed special forces troops to assist in training the Iraqi army.