The City centre-back is currently suspended as a sanction for testing positive for a specified substance in the wake of his team's defeat to rivals Manchester United.
The 29-year-old's former manager, Arsene Wenger, has already come to his defence and claimed the centre-half failed the test as the result of taking one of his wife's diet pills.
Now, international team-mate Drogba has added to Wenger's words to back Toure further and is adamant that the former Gunner would not attempt to gain such an advantage.
Speaking to journalists in Barcelona at the Global Sports Forum to promote his humanitarian foundation, the striker said: "It would be a difficult situation for us if he is banned because he is one of the most important players, one of the oldest, most experienced players.
"It would be very difficult for us if something like this happens.
"I think we all know how stupid it was, the mistake, and I don't think he did it to improve his performance.
"I think it was just a mistake and we feel sorry for him and he has all our support, and that's the maximum we can do.
"I spoke to him and he was down, but that is normal. He said it was just a mistake.
"There's not a big difference between what is said by Arsene Wenger and what he said [to me]."