The Daily Star says their hopes of signing Dahoud could be aided by Can's presence at Anfield.
Jurgen Klopp missed out on the Borussia Monchengladbach star this summer.
And he is being chased by a host of Europe's top clubs.
However, the Reds allegedly believe they are in pole position to lure him away from the Bundesliga outfit.
That's because of their working relationship with Reza Fazeli, who represents Dahoud, and with whom they are already in talks over a new contract for Can.