BILD says the Kosovo international has caught the eye of Reds boss Jurgen Klopp after a sensational first-half of the season. Klopp has since instructed scouts to keep tabs on Rashica to the end of this campaign.
The 23 year-old's pace and eye for goal is viewed as ideal for Klopp's attack.
For their part, Werder accept they face losing Rashica this summer and currently are demanding €38m to sell.
Werder chief Frank Baumann recently stated: “Of course there are a few prospects for a player like Milot after the performances over the past few years. So far we haven't negotiated with any club."