BILD says the 19-year-old was interesting Bayern during the winter market and a transfer could be on the table in the summer.
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Chelsea's preferred candidate for right-back is Givairo Read (19/Feyenoord), who is also being courted by other top clubs.
Acheampong, who has only made twelve appearances for Chelsea in the Premier League this season, would be an alternative.
Given their squad depth, the Blues would likely be willing to sell him if a suitable offer comes in.
Acheampong's contract in London runs until 2029.
