Adebayor ran the length of the field to celebrate in front of the Gunners fans after scoring against his former club at Eastlands in the Premier League clash in September last year.
The 26-year-old was warned by the Football Association as to his future conduct and was also handed a three-match ban for an incident involving Robin van Persie which left the Holland forward with a facial wound.
The teams meet again on Saturday and although Arsenal's title challenge is all but over, the match is vital to City who are in a battle for the fourth Champions League spot.
Toure insists Adebayor must keep his emotions in check at the Emirates and said: "The game against them last September was really difficult for him but he needs to show more intelligence because we all know that what he did was not the best reaction - and as a friend I've told him that.
"I've told him he must be calm and not do anything (provocative).
"Ade is a professional player and must just focus on the game and give everything to help the team win."