"As coincidence will have it, a lot of countries seem to be looking for coaches at the same time and we will have to act fast to get the right person," Dravid said.
"John has done a very good job and set a nice platform for the next person.
"Hopefully, John's successor, with the help of the team that is finally the one that has to deliver performances, will be able to take the team to a higher level," Dravid said in an interview to Outlook magazine.
Dravid, who has led the Indians in five Tests and 12 One-dayers, also dismissed suggestions that he was not an aggressive captain saying it was too early to make a judgement on his leadership qualities.
"You can't judge a captain on the basis of a few games. Even I can't judge myself as a captain because I have not captained enough. You should need a fair length of time before you can judge someone", he said.