A stent-graft delivery system is disclosed having an outer tubular shaft or sheath with a relatively stiff proximal segment and a distal segment formed from a tubular textile component. The proximal segment being formed from a polymeric tubing and having a distal end attached to a proximal end of the tubular textile component. During tracking of the delivery system through the vasculature, a self-expanding stent-graft is constrained by and within the tubular textile component in a compressed delivery configuration. Upon positioning at a treatment site, such as an aneurysm, retraction of the outer tubular shaft proximally slides the tubular textile component over the stent-graft to expose and deploy the stent-graft. The tubular textile component may be made from strands of one or more biocompatible materials that have been formed into a textile by weaving, braiding, knitting, crocheting, felting or a combination thereof.
