Jordan, who had inflicted the only defeat of the campaign on the Socceroos, never looked like repeating the feat and were left relying on other results to keep alive their slim hopes of progressing as one of the four best runners-up.

Australia's victory sent Syria through with one of the runners-up spots and they both joined Saudi Arabia, Qatar, Japan, Thailand and South Korea in securing places in the 12-team third qualifying phase, from which four countries will earn tickets to Russia in 2018.

"It was good," said Australia coach Ange Postecoglou, whose side also booked a spot at the 2019 Asian Cup.

"Against a side everyone acknowledged was a tough opponent, we were dominant from start to finish.

"We probably should have scored five or six more."

With Cahill restored to lead the line after missing last week's 7-0 thrashing of Tajikistan and Mooy and Robbie Kruse irresistible in midfield, the match was as good as over as a contest by halftime.

Former Tottenham Hotspur manager Redknapp kept up his urging from the sidelines until the final whistle but only a string of saves from Amer Shafi, one to deprive Cahill of a hat-trick, prevented the scoreline from blowing out further.

Substitute striker Abadallah Deeb, though, restored a modicum of pride for the Jordanians with a superb shot into the top corner in the dying minutes.

"There was a gulf in class," said the 69-year-old Englishman.

"We stepped up a level tonight and it was difficult, they were better than us."