An introducer sheath has a radially unexpanded and a radially expanded configuration, where the sheath locally expands from the unexpanded configuration to the expanded configuration when a device is advanced through a lumen thereof, and locally contracts back to the unexpanded configuration after the device advances past that location. Embodiments of the introducer sheath include an outer tubular layer comprising a longitudinal cut therethrough, and an inner tubular layer comprising at least one pleat extending through the longitudinal cut to an outside surface of the outer tubular layer. Embodiments of the inner tubular layer are adhered to an inner surface of the outer tubular layer, with the pleat not adhered to an outer surface of the outer tubular layer.