A transdermal delivery device (10, 10′;) includes at least one of a backing layer (14) and a removable release liner (16). An active layer (12, 12′;) is supported by the backing layer and/or release liner. The active layer includes a polymer matrix, a therapeutically/cosmetically effective amount of an active agent dispersed in the polymer matrix, and a pressure sensitive adhesive, incorporated in the polymer matrix and/or adhered thereto. The polymer matrix includes a thermoplastic polyurethane polymer and optionally, a poly(meth)acrylate polymer. The thermoplastic polyurethane polymer includes the reaction product of: a first polyether polyol A having a molecular weight of at least 3000 daltons and/or a second polyether polyol B having a molecular weight of no more than 2500 daltons; a third polyol C having a molecular weight of up to 800 daltons and/or a chain extender; a polyisocyanate; and optionally a catalyst.