Sky Deutchsland says Barca are in the market for a wing-back addition - at an affordable price - with coach Hansi Flick forced to play Jules Kounde out of position this season.
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Barca see Ryerson as a candidate and talks with the player's agents are underway ahead of the winter market.
Ryerson's deal with Dortmund runs to 2028, having joined in 2023 from Union Berlin for €5m.
The Norway international is firmly a first-choice at Dortmund, where he has made 121 appearances.