Mathew Leckie broke the deadlock in the 60th minute and Australia advanced to the last 16 for the first time since 2006 with a 1-0 defeat of Denmark in Group D on Wednesday at Al Wakrah, Qatar.
After Leckie finished off a successful counterattack, Denmark's last best chance came about 10 minutes later when the Danes were called for a penalty after a foul against Kasper Dolberg. Dolberg, however, was ruled offside.
The Socceroos lost 1-0 to Italy in their only previous appearance in the knockout stages 16 years ago.
Denmark got three saves from Kasper Schmeichel but finished at the bottom of the group with one point.
--Tunisia 1, France 0
Wahbi Khazri's goal against the defending World Cup champion France was bittersweet as Tunisia was eliminated despite its victory in Doha, Qatar.
Khazri, who was born in France, fought through traffic to score in the 58th minute to give Tunisia just its third win in six World Cup tournaments.
France had already booked its spot in the knockout stage and finished on top of Group D with six points, ahead of runner-up Australia based on goal differential.
--Field Level Media