The group of so-called "ISIS brides" had left the Al-Roj refugee camp in Syria on Thursday and were heading to the capital Damascus.
While it has been confirmed plane tickets have been purchased, the exact time of their return to Australia is not yet known.
It's expected one member of the group will not be allowed to fly to Australia, after the federal government imposed a temporary exclusion order on the person.
The exclusion order would ban the person from entering Australia for two years due to national security grounds, despite being a citizen.
The cohort originally travelled to the Middle East with men who sought to fight for Islamic State before the caliphate was toppled in 2019.
The prime minister has previously said some members of the cohort can expect to face charges on their arrival in Australia.
It comes after a first cohort of four women and nine children arrived back in Australia earlier in May after leaving the same refugee camp.
Three of the women in that group were arrested upon their arrival and remain in custody.
Two are facing charges relating to slavery, and the other was charged with joining a terrorist organisation and travelling to a declared conflict zone.
Mr Albanese said the federal government was not offering assistance to the cohort.
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