The present invention relates to a transdermal therapeutic system for administering an active substance through the skin, comprising: a) a cover layer, b) a reservoir present on the cover layer, comprising a polymer matrix comprising the active substance, c) an adhesive layer present on the reservoir comprising a contact adhesive, and d) a removable layer present on the adhesive layer, the active substance being rivastigmine, a physiologically compatible salt, hydrate, solvate or derivative thereof, characterized in that the polymer matrix of the reservoir comprises neither hydroxyl groups nor carboxyl groups.