As John Terry is doubtful for the Stamford Bridge encounter with a knee injury, the issue over whether Ferdinand should shake his England team-mate's hand may not arise.
But Ferguson admitted: "John Terry might not play but I would have a word with Rio about the situation."
On Thursday it was confirmed that Terry would not face a court case into his alleged racial abuse of Ferdinand's brother, Anton, until after Euro 2012, and a tweet sent by Rio the same day seemed to indicate the 33-year-old was not too impressed by the situation.
The elder Ferdinand believed to be in two minds about whether to shake hands with Terry after the Premier League confirmed they had no plans to scrap the traditional pre-match greeting.
And Ferguson added: "Rio has been fighting racism for many years and the lad must rise above it.
"It doesn't detract from anything to shake John Terry's hand. He (Rio) has done nothing to be ashamed of."
It is the first of two such cases United are faced with on successive weekends given Luis Suarez is set to be in the Liverpool squad to face the Red Devils at Old Trafford on February 11.
It would be the Uruguayan's first meeting with Patrice Evra since he was banned for eight matches for making racist comments towards the Frenchman.
"Patrice Evra has already shown the courage to fight it by complaining about it," said Ferguson. "It is nothing to be ashamed of. There is not a problem shaking hands."
Source: PA
Source: PA