New York media reports said the brief rebuke occurred before the Yankees beat Kansas City 3-2.
Rivera was talking to reporters in the dugout about his "emotional" meeting with local fans earlier in the day, while Chamberlain was standing just outside the bench chatting with his family.
At one point, Rivera told Chamberlain to lower his voice. Once Rivera's interview was done, Chamberlain told Rivera in front of reporters: "Don't ever shush me."
Chamberlain then reiterated his message, saying he was serious about it. After the game, the players said the issue was between them to handle.