Apparatus and methods are provided for making one or more tubular components of medical catheters or other tubular bodies using a strip of polymer material including a length, a width, and a first surface including a lubricious or other coating or surface modification. The strip is directed adjacent an elongate mandrel, such as beading, such that the length of the strip extends along the mandrel and the coating is disposed towards the mandrel. The strip is rolled at least partially around the mandrel such that the coating or surface modification is disposed inwardly towards the mandrel, and one or more strip-constrainment members are wrapped around the rolled strip. The directing, rolling, and wrapping steps may be substantially continuous to create one or more strip-mandrel-constrainment member subassemblies.
