The newly-promoted German club sit second in the Bundesliga during its winter break, having lost just once during the first half of their maiden top-flight campaign.
Key to their success has been Swedish international Forsberg, a £3million signing from Malmo in 2015, who has bagged five goals and created nine others in his 15 appearances thus far this term.
That has attracted renewed interest from Jürgen Klopp, with Anfield scouts heading to Germany to make checks on a player who first came to the Liverpool chief's attention over two years ago, during his time with Borussia Dortmund.