Catheter shaft tubes and methods for making them are described, in which a tubular member has two or more polymer layers and with some kind of reinforcement between at least two of the polymer layers. An inner polymer layer has a lower melting temperature than an outer polymer layer. In one embodiment a catheter comprises a flexible shaft having a proximal and distal end the shaft extending between the proximal and distal ends and defining a lumen extending from a proximal port to a distal port. At least a portion of the shaft includes a tubular body having an inner and outer polymer layer. At least a portion of the tubular body is reinforced by one or more reinforcing members extending between the inner and outer polymer layers. The inner polymer layer has a lower melting temperature than the outer polymer layer.