Mundo Deportivo says Al-Ittihad plans to make a bid for Ter Stegen this summer.
At Al-Ittihad the likes of Karim Benzema, Fabinho, N'Golo Kant and Luiz Felipe are all on the books.
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However, it is unclear whether Barcelona are willing to sell the goalkeeper.
Earlier this year, it emerged that Barcelona could consider selling Ter-Stegen - provided a sufficient offer is made.
The goalkeeper extended with Barcelona last year. His current contract runs until the summer of 2028.