Kuyt, 31, has a year to go on his current deal at Anfield but there is speculation he could leave the club in the summer after six years in England.
He told kicker.de: "He has class, and he is also a fighter. There is nothing more that needs to be said about the quality of this player. Whether this is something we feel we want to commit to, we will see."
Fink's comments follow similar sentiments from the club's technical director Frank Arnesen a couple of weeks ago.
"A player like Kuyt, who is still in good shape, can add something to any team," the Dane told Bild. "He is a real team player with an excellent attitude."