“We will give Mitch all the time he needs and welcome him back into the squad with open arms whenever he feels the time is right for him and his family,” he added.
Earlier, star batsman David Warner and bowler Ashton Agar had been ruled out with injury though pacer Pat Cummins was rested to prepare for the Test matches.
On Saturday, Nathan Lyon was added to the T20 squad. However, no replacement for Starc has been created provided Andrew Tye and Daniel Sams are currently in the side.
India created a winning start off to the 3-match T20I series as they beat Australia by 11 runs in the 1st T20I in Canberra on Friday. The second T20I involving the two teams will be played at Sydney Cricket Ground on Sunday.