Antonio Rudiger was booed by Tottenham fans on Saturday after a police probe found no evidence to support his allegation he was racially abused against Spurs in December.
The Chelsea defender later said “racism has won” – but his German national team colleague claims it’s important he keeps on speaking out against the racists.
Kimmich said: “I hope of course that racism hasn’t won.
"If something like that happens everyone should voice their concerns and those responsible should be picked out.
"It’s a shame that some spectators use football to voice their racism.
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"We players should not stop being strong on that. It’s important for Toni to speak out."
Spurs yesterday reiterated their support for Rudiger and insisted they would revisit their investigation should any new evidence come to light.
Kimmich, who was not part of the Bayern side beaten by Chelsea in the 2012 final, has promised Frank Lampard’s men the toughest of tests.
The German champions were the only team to win every game in the group stage this season, top scoring with 24 goals.
Midfielder Kimmich, 25, said: “I watched that final on the TV. Let’s hope this time is very different. We want to be brave with the way we perform."
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Bayern boss Hansi Flick warned Chelsea that star man Robert Lewandowski, who has ten goals in five Champions League games this season, has never played better.
Flick said: “Robert is playing in the form of his life. He is full of confidence. He is on a real run and we hope he continues that against Chelsea.
“As a leader up front he is very important for us. He is absolutely brilliant at the moment, a real team player who works so hard.”
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