However, Die Roten Bullen are operating on a tight budget and Rashica has a release clause of around €35m.
Leipzig proposed an initial €15m to Werder with a further €3m to follow in bonuses.
But that is not enough for the Bremen side, who value him considerably higher than that.
Werder need to sell this summer in order to raise money, but are determined not to be pressured.
The club’s Bundesliga survival obligates them to buy loanees Leonardo Bittencourt and Omer Toprak for a total of €10.5m.
And next season, Davie Selke’s loan from Hertha will turn into a compulsory purchase for €13m.
As a result, Werder want to get as much money for the left-sided forward as possible.