Werner, 22, has scored 11 goals in 17 games for the Bundesliga side so far this term, but his future is in question.
The Germany striker is holding off on a new contract at the club, which is set to expire in 2020, and is assessing his options amid interest from elsewhere.
Liverpool are among a number of clubs keeping tabs on Werner - who joined RBL from Stuttgart in 2016 - while Bayern Munich are also monitoring his situation.
Werner spoke last month of a possible move, but also intimated that he could look to remain with Leipzig for another year.