The Socceroos centre-back played the full match as Jacob Brown's 86th-minute strike separated the two teams.
Wolves weren't the only Premier League side to suffer elimination on Friday, however, with Sheffield United also crashing out in the second round.
The Blades lost a penalty shoot-out 5-4 to Burnley after the match finished 1-1.
Meanwhile Brighton and Hove Albion cruised past Portsmouth 4-0 at the Amex, though they were without first-choice goalkeeper Mat Ryan, who was rested ahead of Sunday's meeting with Newcastle United.
