Zielinski recently hinted in an interview with Polish website Futbolfejs.pl that there has already been some development regarding a potential move to Anfield.
"Some people say these are just the rumours. I know a little bit more about it," he said. "But until now I just try to play as best as I can in Empoli to have a possible chance in June for such a big transfer move.
"I have spoken with Kuba [Błaszczykowski, who played under Klopp at Dortmund] who plays in Fiorentina now about Klopp.
"He told me about his personality, how is Klopp to the players, gave me some tips, but nothing is known yet. I constantly have to play well in Empoli to get the interest from the bigger clubs."