Perry Kouroumblis was arrested at Rome's Leonardo Da Vinci Airport in September over the slaying of Suzanne Armstrong, 28, and Susan Bartlett, 27, in January 1977.
The friends were found dead with multiple stab wounds in their home on Easey Street in Collingwood.
Ms Bartlett's 16-month-old son Gregory was found unharmed in his cot.
The 65-year-old Kouroumblis was pictured by several media outlets being escorted onto a Qatar Airways flight which departed at Monday afternoon local time.
Kouroumblis is expected to land in Australia on Tuesday night. (AP PHOTO)
He will return to Melbourne on a second flight via Doha that is expected to land on Tuesday night.
Kouroumblis previously told Italian authorities he was "happy" to be extradited but a judge will have final sign off.
Charges have not been laid and he maintains his innocence.
Kouroumblis' lawyer, Serena Tucci, said her client was prepared to face trial and his extradition could happen without a court appearance.
"It's very possible that the judge's signature could happen right as the guards are there at the prison, and within an hour, he's gone," she told the ABC last month.
Victoria Police had an INTERPOL red notice alert out for Kouroumblis on two charges of murder and one of rape.
Shane Patton described the murders as "an absolutely gruesome, horrific, frenzied homicide". (Diego Fedele/AAP PHOTOS)
But he was not able to be arrested in Greece due to a 20-year statute of limitation on the initiation of murder charges.
Ms Armstrong and Ms Bartlett were last seen alive on January 10, 1977, and their bodies were found three days later.
Victoria Police Chief Commissioner Shane Patton has described the murders as "an absolutely gruesome, horrific, frenzied homicide".
The force offered a $1 million reward in 2017 to catch those responsible.
The women went to school together at Benalla in Victoria's north and their families said their deaths changed many lives "irrevocably".
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