The French defender’s contract will expire at the end of the season and Dortmund are in negotiations over a new deal to secure his future.
He is of interest to Premier League pair Manchester United and West Ham, who are considering taking him to England.
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But Dortmund have been insisting that they want to hold on to the player and are pushing him to sign a new deal.
However, according to German magazine Kicker, doubts over his fitness are forcing the Bundesliga giants to have a rethink.
He has featured just nine times in the Bundesliga this season and suffered a fresh injury setback at the weekend.
Zagadou is currently out injured and Dortmund are feeling increasingly anxious about offering him a new deal.
The Bundesliga giants are having doubts over whether they can rely on him being fit for a full season.
The Frenchman has suffered numerous injuries since he joined Dortmund in 2017 and has made 86 appearances over the last four-and-a-half years.