Australia captain Pat Cummins is briefly returning home from India for personal reasons due to a serious family illness.
Cummins is flying back to Sydney but will return to India later this week to re-join the Australian squad ahead of the third Test, which begins in Indore on March 1.
Fellow quick Josh Hazlewood is also heading back to Australia after being ruled out of the remainder of the tour with an Achilles complaint.
The injury — which he sustained in Sydney last month — had sidelined Hazlewood from the first two Tests in India.
Australia is yet to decide on whether to send David Warner home after the veteran opener was subbed out of the second Test in Delhi because of concussion.
Warner also suffered a fractured elbow during his first-innings knock of 15.
"He's still sore at the moment," Australia coach Andrew McDonald said on Monday.
"We're in no rush to make any decisions at this point in time around Davey.
"It will be basically how sore and how functional it (his elbow) is as to what decision we make with him and then the length of the injury."
India retained the Border-Gavaskar Trophy after claiming an unassailable 2-0 lead in the series with its six-wicket win in Delhi.
Australia lost the first Test in Nagpur by an innings and 32 runs.
The defeat in Delhi stung, given Australia seemingly had control of the match at the beginning of the third day.
The tourists held a 62-run lead at the start of the morning session, but lost nine wickets for 48 runs to be all out for 113 in their second innings, and India chased down the victory target of 115 for the loss of four wickets.
McDonald said the defeat in Delhi could not be blamed on the squad's preparation.
"I still wouldn't have changed what we did leading in, there's no doubt about that," he said.
"I think they had really good preparation in Bangalore, so there's not any excuses.
"At the end of day two, if you said our preparation was good, you'd probably have a different slant on it.
"But within an hour, people start to critique what happened in the past.
"I don't think that had a great bearing on what happened in that hour. We were prepared for that — and day three — as well as we could have been and we failed under the examination of India."
Speaking on Sunday, Australia opener Usman Khawaja said his side wasted their opportunity.
"Today we had the game in the palm of our hand," Khawaja told ABC Sport.
"Things can happen really quickly in the subcontinent, and we know that, and they did, unfortunately."
Following the third Test, the series will conclude in Ahmedabad, with the final match beginning on March 9.
