"It's not a combat mission, but Iraq is a dangerous place and I can't tell you that this is risk-free," Abbott said as quoted by The Sydney Morning Herald.
In the course of its two-year mission starting mid-May, Australian troops will work together with about 100 New Zealand instructors training Iraqi forces to fight the Islamic State militant group (ISIL).
Australia does not currently have plans to extend the length of the training tour, Abbott said.
At the moment Australia has 170 military personnel in Baghdad advising and assisting Iraqi forces. In addition, 400 air force troops support air strikes against the IS from a base in the United Arab Emirates.
The 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 allied militia forces are fighting on the ground.