According to The People, the X Factor judge has suggested that the 81-year-old should have remained quiet after Anton Du Beke referred to his dance partner Laila Rouass as a "P**i".
Forsyth defended the professional dancer, saying people should not take the "slip-up" so seriously.
However, the TV presenter later released a statement saying that he does not condone the use of racist language.
The newspaper also claimed that Walsh said that Strictly Come Dancing is "finished".
