Multi-polymer compositions for the transdermal delivery of drugs, such as amine-functional drugs, in a flexible, finite form are described. The compositions comprise a polymer matrix that includes a drug or a pharmaceutically acceptable salt thereof and a polymer matrix comprising acrylic polymer(s), polyisobutylene polymer(s) and styrene-isoprene-styrene block copolymer(s). Methods of manufacturing and methods of using the compositions also are described.