The US-led combined joint task force can't confirm whether Australian jihadis Khaled Sharrouf and Mohamed Elomar have been killed in air strikes.
The coalition has conducted 31 strikes in and around the Iraqi city of Mosul, where initial reports said the pair had died.
But Foreign Minister Julie Bishop now says there's a high degree of certainty Elomar had been killed in an airstrike in the Syrian city of Raqqa while Sharrouf's fate remains unclear.
"At this time CJTF-Operation Inherent Resolve is unable to confirm the allegation of the death of Khaled Sharrouf and Mohamed Elomar by an airstrike," a spokeswoman told AAP on Wednesday.
The Australian newspaper reported that Elomar died in a targeted strike on a vehicle convoy in Raqqa, Islamic State's main city, late last week.
The Kuwait-based task force acknowledged four airstrikes near Raqqa in the past week, three of which destroyed vehicles.
On June 18 one air strike hit an ISIL tactical unit destroying two vehicles. On June 19, two air strikes struck two ISIL tactical units, destroying two vehicles and a motorcycle.
Strikes are conducted by manned aircraft and drones but the task force doesn't say which aircraft conducted individual strikes or their nationality.
It does say coalition nations whose aircraft have conducted missions over Syria include Bahrain, Canada, Jordan, Saudi Arabia, the United Arab Emirates and the United States.
RAAF Hornet aircraft only conduct strike missions over Iraq.
However, the RAAF KC-30A refuelling aircraft and E-7A Wedgetail airborne early and control aircraft have supported coalition aircraft conducting missions over Syria, although without entering Syrian airspace.
"Air strikes are conducted as part of Operation Inherent Resolve to eliminate the Daesh terrorist group and the threat they pose to Iraq, Syria, the region and the wider international community," the taskforce spokeswoman said.
"The coalition will continue to strike Daesh at the time and place of our choosing."
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