Loris Karius wants Liverpool to cancel his loan at Besiktas.
Turkiye Gazetesi says the German believes his situation in Istanbul is no longer comfortable as a result.
Karius has spoken with Liverpool and told his parent club that he wants to end his two-year loan stint with Besiktas early, with the Turks eyeing up Fulham's Fabri as a potential replacement.
The goalkeeper was slammed by Besiktas coach Senol Gunes publicly earlier this month, while he is currently in a dispute with the club over unpaid wages.
They also claim the goalkeeper is keen on a return to the Bundesliga with Eintracht Frankfurt and Fortuna Dusseldorf said to be interested in his services.