Pat Cummins will not return to India before the fourth and final Test, meaning Steve Smith will again captain Australia in Ahmedabad.
Cummins headed back to Sydney after the second Test – a second defeat – to be with his mother, who is in palliative care with breast cancer.
Former skipper Smith led the Australia team in the absence of the regular captain and oversaw a dominant nine-wicket win in the third Test in Indore.
That victory secured Australia's place in the World Test Championship final, but they need another result in the final match of the series to earn a draw.
Smith will again deputise for Cummins, Australia confirmed on Monday.
Cummins, who is also the ODI captain, has been included in Australia's 50-over squad, with no decision yet made on his involvement in the white-ball series.
Fast bowler Jhye Richardson has withdrawn from that ODI series due to a hamstring injury with Nathan Ellis replacing him in the squad.
