An introducer sheath has a proximal segment and distal segment. The proximal segment includes an inner portion, and a polymeric outer covering portion. The inner portion is formed from a plurality of elongated strands circularly positioned around a longitudinal axis. Each strand includes axial twist portions arranged to define a generally helical strand profile, wherein the twist portions are complementary with twist portions of adjacent strands to define the tubular segment. A tubular distal segment is dimensioned to receive an elongated stent for deployment. The length of the proximal segment is greater than the length of the distal segment, and the outer diameter of the distal segment may exceed that of the proximal segment. A stability sheath may be received over the proximal segment to enhance the stability of the sheath.