The fourth Test will be held at the Sydney Cricket Ground. India lead the series 2-1.
In a surprise move, pace spearhead Ishant Sharma was not included with fast bowler Umesh Yadav preferred.
Ravichandran Ashwin was accompanied by team physiotherapist Patrick Farhart during the bowling session at SCG.
Jasprit Bumrah recorded the best figures for any Indian bowler in Tests at the MCG.
Ravichandran Ashwin failed to recover from an abdominal strain for the ongoing Boxing Day Test against Australia.
The third India vs Australia Test starts in Melbourne from Boxing Day.
The third Test between India and Australia begins December 26 in Melbourne.
Hardik Pandya has been declared fit after he missed the first two Tests.
This is also the fifth time that India have gone in without a specialist spinner.
India vs Australia Highlights: Ishant Sharma was the pick of the bowlers for India on Day 1.
Ashwin's unavailability is a big loss as he had taken a six-wicket haul at Adelaide to help India record their first win in a series opener in Australia.
Praising Ravichandran Ashwin, Team India bowling coach Bharat Arun said that he is extremely confident and aware of what he is doing.
Rishabh Pant made history by equalling the world record for most catches taken in a Test.
This is the first time India have won an opening match of a Test series in Australia.
A late collapse gave Australia a flicker of hope, with India's last four wickets falling for just four runs.
Aaron Finch was dismissed by Ravichandran Ashwin in the 12th over of the Australian second innings.
India are currently 166 runs ahead with seven wickets in hand and two days of play left in the first Test.