The German club have initiated talks to sign the 20-year-old winger on a season-long loan.
Thomas Tuchel is hesitant to lose Hudson-Odoi despite him falling down the pecking order at Stamford Bridge.
Hudson-Odoi still sees himself as a future Chelsea star, according to The Guardian, but he is desperate for regular playing time this season.
The England U21 international is now waiting to see if Dortmund pursue their interest in him.
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