Australia beat Fiji 36-22 in Brisbane, but the win was far from easy.
Fiji led 16-12 after 45 minutes before Australia pulled away late.
Sam Walker scored after a Tedesco break to give Australia a 12-10 lead.
Tom Trbojevic scored three second-half tries to settle the match.
Kurt Donoghoe set up tries and won player of the match in defeat.
Walker now leads the race for the halfback jersey ahead of Tom Dearden.
Cameron Munster looks set to wear No.6 beside the new halfback.
Fiji scored three tries down Australia's troubled right edge.
Kotoni Staggs ran 45 metres and made one error against Fiji.
England beat France 82-0 and New Zealand beat Cook Islands 82-16.
Australia face Cook Islands next, then a semi-final at Allianz Stadium.
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