A stent-graft deployment system (10) includes a stent-graft (15), a flexible catheter tip (12) attached to a catheter shaft (25), a retractable primary sheath (20) containing the stent-graft in a first constrained small diameter configuration around the catheter shaft near the flexible tip. The stent-graft deployment system further includes a flexible secondary sheath (14) disposed within the retractable primary sheath and also containing the stent-graft, wherein when the primary sheath is removed from around the stent-graft, the flexible secondary sheath contains the stent-graft in a second constrained small diameter configuration around the catheter shaft near the flexible tip. The removal of the secondary sheath releases the stent-graft from a radial constraint so that stent-graft deployment may proceed.