Some players have misgivings over the anti-racism organisation's response to the John Terry case.
Kick It Out, part-funded by the FA, said they had been hamstrung by being forced to wait until the end of the disciplinary process before making their feelings public.
Reading striker and BBC pundit Jason Roberts has become so frustrated that he will not wear one of the shirts promoting their week of action - a stance that earned a rebuke from Sir Alex Ferguson.
Anton Ferdinand, the QPR defender who was on the receiving end of Terry's racial abuse, is expected to wear the shirt, according to his manager, as is his brother Rio.
QPR manager Mark Hughes said: "That is my understanding, I have not been told anything different. I fully expect everyone to wear the T-shirt."
Hughes added that he was not expecting a personal apology to his player.
"I think John Terry feels that he hasn't done anything wrong and that has been his stance," he said.
"So for him to apologise would perhaps be an admission of guilt so I wouldn't have thought he would be prepared to do that."
Rio Ferdinand also appears set to wear a Kick It Out T-shirt after Manchester United boss Ferguson said all players should do so.
Ferguson said: "I have to disagree with Jason Roberts. I think he is making the wrong point.
"Everyone should be united, with all the players in the country wearing the Kick it Out warm-up tops.
"I don't know what point he is trying to make.
"I don't know if he is trying to put himself on a different pedestal from everyone. But he really should be supporting all the rest of the players who are doing it.
"When you do something, and everyone believes in it, you should all do it together. There shouldn't be sheep wandering off.
"All the players are wearing it. I have only heard that Jason Roberts is different - but he is very different. He plays a game and is in the studio 20 minutes after it. That is a great privilege."
Meanwhile, the Football Association have been strongly criticised by the head of European anti-discrimination body FARE for their handling of the Terry case.
Piara Powar, executive director of FARE, said the FA had allowed the case to drag on for far too long, had not provided enough support to Anton Ferdinand and had not rebuked England manager Roy Hodgson for making supportive statements about Terry.
The Chelsea captain yesterday accepted a four-match ban from the FA for racially abusing QPR defender Ferdinand in October last year.
It is the second high-profile case in the English game, with Luis Suarez banned for eight matches last season for racially abusing Liverpool's Patrice Evra.
Powar said he understood why Roberts is refusing to wear a Kick It Out t-shirt, but said the player's anger should be directed at the FA and not the anti-racism group.
Powar said: "What the FA did with Suarez was absolutely the right way to deal with the situation but with Terry it took too long, the punishment was inconsistent with the Suarez sanction, and the mess included inappropriate statements from the England head coach, who basically seemed to support him.
"That went without comment or sanction by the FA. To have their most high-profile employee getting involved in such a significant and important issue as this was wrong."
Powar said the FA should have launched a review of how the cases had been handled.
Arsenal manager Arsene Wenger, himself often the target of vile chants, believes all insults must be eradicated.
He said: "It is not only racism, black and white, it is against all kinds of insults we still have in the stadiums. We must fight more against it.
"You look at some faces when you walk around the pitch, what they shout at you is scary. That is, for me, racism.
"You are insulted because you are not in their clan. That is a kind of discrimination."
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