Iran's official IRNA news agency did not say whether the pilot died while flying sorties or fighting on the ground.
It said Colonel Shoja'at Alamdari Mourjani was killed while "defending" Shiite Muslim holy sites in the city of Samarra, north of Baghdad.
His death comes after Iran's declarations that it will provide its western neighbour with whatever it needs to counter the Sunni militants who are laying siege to the Shiite-led government of Prime Minister Nuri al-Maliki.
The reports of the pilot's death came as Iranian officials insist their assistance is not in the form of troops, but rather of weapons and equipment if Iraq asks for them.
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President Hassan Rouhani vowed last month that Iran, which is predominantly Shiite, would protect Shiite holy sites in Iraq, including in Samarra.
The Fars news agency appeared to confirm the IRNA report, publishing photos of a funeral service for the pilot yesterday in his home province of Fars, in southern Iran.
Earlier in the week, the Iraqi defence ministry said it had taken delivery of five Sukhoi Su-25 warplanes and released video footage of them being unloaded from a cargo plane.
The London-based International Institute for Strategic Studies said the jets came from Iran.