A joint counter-terror police team said they will allege in court that the woman, 34, travelled to Syria between 2013 and 2014 with a man to join IS.

The woman was then detained by Kurdish forces in 2019 and held in the al-Hawl Internally Displaced Persons camp until returning to Australia in September last year, they said.

She will face court on Thursday, police said.

Her arrest follows the return to Australia this month of a number of women and children linked to suspected IS fighters.

Two women, a mother and a daughter, were arrested on arrival in Melbourne.

Police accused them of having kept a woman as a slave after travelling to Syria in 2014 to support IS.

They had also been detained by Kurdish forces in 2019.

A third woman was also arrested on arrival in Sydney and charged with entering a restricted area and joining a "terrorist organisation".

This week, 13 more IS-linked Australians -- four women and their nine children -- flew home from Syria.

In a statement following their landing, Australia's federal police said none of the cohort had been charged with an offence upon arrival.

"It is important to note that a period of time without charges being laid is not an indicator that investigations have ceased," Australian Federal Police Deputy Commissioner National Security Investigations Hilda Sirec said on Thursday.

"Investigations are continuing into all the recent adult female returnees from Syrian camps," she added.