RB Leipzig forward Werner has been linked with a move to Anfield after an impressive season.
Dortmund are ranked seventh in the UEFA club coefficient rankings, while Liverpool are in 34th.
Douglas Costa could miss Bayern Munich's Champions League quarterfinal with Real Madrid with a knee injury, according to a Sport1 report.
Hoffenheim coach Julian Nagelsmann, the youngest manager in the Bundesliga, has received the Trainerpreis des deutschen Fussballs 2016.
Craig Burley and Mark Donaldson review this week's player power rankings, with Anthony Modeste's hat trick leading the way.
Arsenal have denied reports by German newspaper Bild that they have approached Borussia Dortmund boss Thomas Tuchel to replace Arsene Wenger.