Abstract: The invention involves annular hollow fiber membrane bundle comprising a plurality of helically wound layers of semi-permeable hollow fibers helically wound thereon and at least one reinforcement filament which has been helically wound concurrently with said hollow fibers into the hollow fiber membrane bundle. A preferred embodiment provides that the reinforcement filament is uniformly distributed throughout the diameter of the bundle and/or across the axial length of the bundle. Though, other embodiments provide a non-uniform distribution throughout the diameter of the bundle and/or across the axial length of the bundle.