Bayern host the second-leg of their quarterfinal with the score locked at 2-2.
Sane, who has a pubic bone injury, gave a positive prognosis to BI>D: "I hope. It should work out.'
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On Sunday morning, the 28-year-old began light training and individual running again.
Coach Thomas Tuchel had already announced that they would "do everything they could" to ensure that San would be fit to play on Wednesday.