The Wallabies made light of the loss of five suspended players to run in two tries in a nervy 21-15 win over Scotland at Murrayfield.
Fullback Israel Folau and wing Chris Feauai-Sautia crossed the line for the Wallabies, who banned five players from taking part in the match following a drinking session days before their 32-15 win over Ireland last weekend.
Scotland, who lost 28-0 to South Africa last weekend following a 42-17 win over Japan, stayed in touch thanks to the kicking of scrumhalf Greg Laidlaw and trailed only 13-12 at half-time.
Australia lost 20-13 to England in the first test of their tour before crushing Italy 50-20 and beating Ireland.
They play Wales in the final match of their tour next weekend.
