Leipzig CEO Oliver Mintzlaff, though, said he is confident Werner will remain at the Red Bull Arena.
If Werner is to leave RB Leipzig then he wants to do so for a big club with genuine title winning prospects, and when asked to name some of these clubs, the footballer said: "In Spain there are a maximum of three clubs with Barça, Real and Atlético Madrid".
On current form, Timo Werner would be a welcome addition to nearly any club on the continent.
"We play in the Champions League", Mintzlaff is quoted by Kicker as telling Sky.
The former Stuttgart winger has evolved into one of the most complete goalscorers in the game after just over a year at RB Leipzig, outscoring every other German player with 21 Bundesliga goals last season before earning the Golden Boot as Joachim Low's side triumphed at the 2017 Confederations Cup. "We are taking everything in a relaxed manner", Mintzlaff added.
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"So far, I have progressed very well with Leipzig", he told Sport Bild.
"That is why I do not think what is ahead in one, two or three years".
Liverpool are not the only club attempting to land Werner in the transfer market as Real Madrid have also been linked to the German global. "Perhaps RB will be a big club too - I'm quite sure", he added.
Particularly on the subject of Liverpool, who recently sealed a deal to sign Naby Keita next summer, Werner spoke glowingly of the club, albeit in the context of his team-mate's move. "Liverpool is a big club with a great stadium and super fans, plus it's a huge transfer".