A composite hollow lumen and a method for producing the lumen are provided. The lumen includes a tubular textile formed of yarns having a first tensile strength and a matrix material in which the tubular textile is embedded to form a conduit having a bore and a sidewall substantially impermeable to liquid. The matrix material has a second tensile strength that is lower than the first tensile strength. The method for producing a composite lumen includes selecting yarns having a first tensile strength, selecting an elastomeric matrix material having a second tensile strength that is lower that the first tensile strength, forming a tubular textile of the yarns, and embedding the tubular textile in the matrix material to form a conduit having a bore and conduit walls that are substantially impermeable to liquid. The elastomeric matrix material is a biodegradable or bioresorbable polyester.