CA will work with India to keep training sessions in Brisbane and Sydney closed ahead of the third and fifth Tests, although the nets at the MCG are visible to the public.
The second Test of the Border-Gavaskar series starts at Adelaide Oval on Friday.
India has banned spectators from training sessions for the rest of the Border-Gavaskar series after a huge crowd turned out to watch them prepare for the Adelaide Oval Test.
Up to 5,000 people attended an open training session on Tuesday night, with India going through a full dress rehearsal with the pink ball.
Fans packed the stands to watch India’s stars kick around a soccer ball, rising together as Virat Kohli simply walked out onto the ground.