Australia Test captain Pat Cummins will rush home from India for personal reasons but is expected to be available for the third Test starting on Wednesday March 1.

Cummins' side were beaten by six wickets inside three days by India in the second Test in Delhi on Sunday, ensuring the hosts retained the Border-Gavaskar Trophy.

The skipper will travel back to Sydney for a few days for a family health issue, before linking back up with the squad in India.

Australia are due to face India in the third Test in Indore, having been moved from Dharamsala due to the condition of the ground.

Cummins has taken three wickets at 39.66 in the opening two Tests of the series, which has been dominated by spin bowlers.

If Cummins is unavailable for the third Test, vice-captain Steve Smith would lead the side, while fast bowlers Mitchell Starc, Josh Hazlewood, Scott Boland or Lance Morris could come into contention. 

Cummins was the only pace bowler selected for the second Test, going in with spinners Nathan Lyon, Todd Murphy and debutant Matt Kuhnemann.