Klopp is reportedly considering bringing the Borussia Dortmund man to Anfield.
Germany's Andre Schurrle in action with Poland's Jakub Blaszczykowski
The Reds are expected to be busy in the transfer window as the German boss moulds his squad ahead of next season.
They have secured four new signings already, with Joel Matip, Loris Karius, Marko Grujic and Sadio Mane all making the move to Anfield.
Poland's Jakub Blaszczykowski celebrates after scoring their first goal
It is unlikely that they will be the only new faces to arrive at Anfield though and a move for one of the Germans' former Borussia Dortmund stars could be on the cards.
That man is Jakub Blaszczykowski, who according to German publication Bild has caught the eye of his former manager with several fine performances at Euro 2016.
Portugal's Rui Patricio saves from Poland's Jakub Blaszczykowski during the penalty shootout
He was one of Poland’s key men at the tournament before they were knocked out at the quarterfinal stage by Portugal.
Those performances have put him back on Klopp’s radar and a move could be on the cards this summer.
It is unknown whether Dortmund would be willing to sell, although perhaps the Polish international would seek a move after he spent last season on loan at Fiorentina.
Jurgen Klopp embraces Jakub Blaszczykowski