A multi-layered dimensionally recoverable tubing system and method for making the same, in which the system has a first layer, a second layer, and a reinforcing structure. The first layer includes at least one crosslinkable polymer. The second layer is disposed adjacent to the first layer and includes a polymer. A reinforcing structure is disposed adjacent to the first layer. One or both of the first layer and second layer are dimensionally recoverable. The first layer is substantially crosslinked, and the second layer is substantially uncrosslinked. To form a reinforced medical device, the system is heated and dimensionally recovered, where the reinforcing structure becomes incorporated in the second layer.