Jeffrey Webb, a FIFA vice-president, will go to the Chelsea v Manchester City game at Stamford Bridge and has asked to meet the Ivory Coast midfielder afterwards.
CSKA Moscow have been charged by UEFA with racist behaviour by their fans but will contest the allegations at a disciplinary hearing on Wednesday.
Webb, head of the CONCACAF federation, said: "I am going to be at the match tomorrow and I have asked to meet Yaya Toure.
"For me it's about how he felt and I would like to speak to him first to find out what his experience was."
Toure has raised the spectre of black players boycotting the 2018 World Cup if the racism problem in Russia does not improve.
Webb, in London for the Football Association's 150th anniversary dinner, discussed the incident in Moscow at a meeting this morning with fellow task force member Piara Powar, the executive director of European anti-discrimination body FARE.
Reading striker Jason Roberts was also at the meeting and they left Webb in little doubt about the need for the FIFA task force to put pressure on the Russians to improve their record on racism.
Toure complained to the referee Ovidiu Hategan about the abuse during the 2-1 win and UEFA is now investigating why the Romanian official did not follow the European governing body's guidelines and stop the match for a warning to be issued on the public address system.
FIFA president Sepp Blatter has insisted a boycott of the 2018 World Cup would achieve nothing.
Blatter, addressing the Oxford Union on Friday night, said: "He suggested a boycott, but a boycott has never been any solution.
"We have already seen boycotts of the Olympic Games, and what was the result? Nothing - because if you have a problem, you cannot run away from it. The problem is still there. You have to solve it, and we know this.
"We will make sure at the next FIFA executive committee meeting, in Brazil in December, we will again appeal to everybody to deliver sanctions.
"If you take one of the teams out of the Champions League, think about what will happen. This will only stop if the sanctions work."
CSKA and Russian officials have denied there were monkey chants towards Toure.
The club's deputy media manager Michael Sanadze said: "There is no subject to discuss. Nothing special happened.
"There was a lot of noise in the stadium. Nobody else, other than Yaya Toure, heard anything. The only trouble that has come about was because Yaya Toure heard something."