Werder Bremen have set a price tag of approximately €20million for Niclas Fullkrug, according to Kicker magazine.
Leipzig climbed back into third position in the Bundesliga table after a 2-1 win against Werder Bremen.
Werder Bremen announced on Thursday that defender Anthony Jung has extended his contract with the Bundesliga club.
Borussia Dortmund defeated Werder Bremen over the weekend thanks to a starring role again by their substitutions in the Bundesliga.
Forward Oliver Burke is leaving SV Werder Bremen to join FC Millwall on loan until the end of the season.
Werder Bremen will be missing midfielder Romano Schmid for the foreseeable future after he suffered a knee injury.