The German club have been unable to agree terms with Roma for Schick, who enjoyed a good season with Die Roten Bullen.
The Turks have an option to buy Sorloth for €6m and could make a quick profit by selling him.
In 16 league appearances for the Eagles, he failed to score, leading to a loan spell at Gent in Belgium.
But in the past year, he flourished for Trabzonspor, becoming their all-time top-scoring foreign player in a single season.
A tall, fast and strong striker, he would be a cheaper alternative to Schick, who Roma want €25m for.