The Kosovo international has been in impressive form for his German club during the 2019-20 campaign, contributing 10 goals and five assists in 24 appearances in all competitions.
The Reds are believed to have identified the attacker a possible signing ahead of next season.
According to Gazeta Blic, Bremen would be open to selling Rashica this summer providing that an offer of €38m (£35m) was received.
The 25-time international has played in a number of different positions for Die Werderaner this season, featuring as a left-sided winger, centre-forward, second striker and an attacking midfielder.
Aston Villa are also believed to be interested in a summer deal, although Dean Smith's side's chances of signing Rashica are likely to depend on whether they can stay in the Premier League. body check tags ::