The midfielder is unsettled and being linked with a summer move away.
Kimmich has been linked with Barcelona, Manchester United and Manchester City. He is on a contract that expires in 2025 and is not close to extending.
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Eberl suggests that Kimmich's future could depend on who becomes the new coach for next season.
"I will sit down with him too and talk (about the situation)," he told DAZN.
"Of course the question is, who will actually be the future coach? It is the topic that we at best solve first."