Both were forced off the pitch during the match, leaving fans and the club holding their breath for updates.
Kimmich, a linchpin in Bayern's midfield, limped off in the first half after battling through a knock he carried into the game. Max Eberl, Bayern's board member for sport, spoke after the match and said, "Jo went into the game with a knock. He's being examined right now, so I can't say much yet.
"He didn't come off voluntarily, though. Hopefully it's nothing serious, but you never know."
Club president Herbert Hainer offered a more optimistic take, adding, "It was probably something in his thigh. The doctors said it's probably not that bad."
Later, Bayern took to X to provide a brief update on Kimmich, stating, "Joshua is undergoing further tests. We'll know more soon."
The club are clearly keen to avoid losing their versatile midfielder, who has been pivotal in their Bundesliga campaign.
The worries didn't end there for the Bavarians. Jamal Musiala, the young talisman who had just notched Bayern's third goal, needed treatment before being substituted shortly after.
Eberl quickly moved to ease fears, saying, "It was a precautionary measure. He's in the dressing room in good spirits." The decision to withdraw Musiala appeared tactical rather than dire, a relief for Bayern supporters who have come to rely on his flair and creativity this season.
Bayern have been in scintillating form, and this win underscored their dominance, but the potential absence of Kimmich and Musiala could test their depth.
For now, the club are awaiting medical clarity, with fans hoping their stars are back in action soon. Eberl's cautious optimism suggests Bayern are prepared to move swiftly, but the coming days will reveal the true cost of Sunday's triumph.