Australia is part of a US-led coalition carrying out air strikes against IS in Iraq and has deployed special forces troops to assist in training the army.
"Abbott arrived in Baghdad on an official visit to discuss bilateral cooperation between the two countries and... strengthening support and supplying the security forces to confront (IS) terrorist gangs," the television said, citing "government sources."
It did not provide further details on the visit.
IS spearheaded an offensive that swept through much of Iraq's Sunni Arab heartland in June.
Dozens of Australians are fighting for Islamic militant groups overseas, raising fears that they could return home and carry out attacks.