The 30-year-old is absent with bruised ribs suffered after a fall at home. Pat Cummins, Mitchell Starc and Josh Hazlewood are set to lead the seam attack again
James Pattinson will miss Australia's third Test against India at the SCG with a rib injury.
The 30-year-old suffered a fall at home between Christmas and New Year and suffered bruising which has ruled him out of the penultimate match of the series.
Australia have opted against calling up a replacement for the right-arm quick, with Michael Neser and Sean Abbott already in reserve.
Mitchell Starc, Josh Hazlewood and Pat Cummins are expected to lead the seam attack, with the series locked at 1-1.
Will Pucovski and David Warner have already been added to the squad after recovering from a concussion and a groin injury, respectively.
All players have tested negative for Covid-19 ahead of the third Test in Sydney, where authorities are currently attempting to deal with an outbreak of cases.