The Tánaiste says officials remain in contact with Turkish authorities about the return of Lisa Smith.
It comes amid reports that the 38-year-old is expected to return to Ireland as early as this weekend.
The Dundalk woman travelled to Syria in 2016 to join the so-called Islamic State group.
The former Irish Defence Forces member supporter is being deported from Turkey along with her two-year-old daughter.
She faces questioning by gardaí as soon as she arrives on Irish soil.
Ms Smith was captured last March after fighting between the Syrian Democratic Forces and the Islamic State.
She and her daughter were transferred to Turkish custody following the bombing of the Ain Issa displacement camp in north-east Syria in recent weeks.
Irish diplomats have been in talks with Turkey since earlier this month.
Speaking today, Tánaiste Simon Coveney said they don't talk publicly about consular cases.
However, he added: "There's been a lot of media speculation - some of it has been inaccurate.
"We've been working on this case for some time, and we remain in contact with the Turkish authorities - who've been very helpful in relation to this case. We'll have to wait and see how it develops."
Taoiseach Leo Varadkar yesterday said it wouldn't be fair to expect Turkey to hold Ms Smith "indefinitely".
Garda Commissioner Drew Harris, meanwhile, said he's happy with the arrangements in place for the return of Ms Smith and her daughter.
He said he has presented the Government with a "suitable and proportionate" plan.
