Previous Socceroos manager Ange Postecoglou resigned from the post last month after leading the side to qualification for next year's World Cup, and according to The Herald Sun, former England coach Eriksson is in the running to take his place.
"Yes of course I'm interested. It's a big job, a big football country, you're playing in the World Cup – again. You more or less always play in the World Cup," the 69-year-old is quoted as saying.
Football Federation Australia is understood to be aiming to have a new manager in place by mid-February ahead of the tournament, in which the nation have been drawn in the same group as France, Peru and Denmark.
Eriksson has been out of work since June, when he was dismissed from Chinese outfit Shenzhen FC after a troubling run of form.