Naman Ojha is the reserve wicketkeeper for the first Test and he will return home once Dhoni joins the team for the second Test.
The team left in wee hours today.
The Australia tour commences on November 24 with a two-day practice game in Adelaide against Cricket Australia XI. The visitors will then play one more two-day warm-up game against Cricket Australia Invitational XI (November 28-29) in Adelaide before the four-match Test series starts on December 4 at Brisbane.
The other Tests are to be played at Adelaide (December 12-16), Melbourne (December 26-30) and Sydney (January 3-7).
The Test series will be followed by a tri-nation series comprising hosts Australia, India and England from January 16 to February 1.