A deployment system (10, 410) includes an inner shaft (36, 436), removably disposed in a self-expanding stent-graft (40), and shaped so as to define (a) at least one conduit therealong (50, 450), which is (i) not coaxial with the inner shaft (36, 436), and (ii) shaped so as to define at least first (52, 452) and second enclosed longitudinal segments (54, 454), and (b) a restraining longitudinal portion (56, 456) that is longitudinally disposed between the first (52, 452) and second enclosed longitudinal segments (54, 454). The deployment system (10, 410) is configured such that (a) when a restraining wire (60, 460) thereof is removably disposed in the first (52, 452) and second enclosed longitudinal segments (54, 454), a portion (62, 463) of the restraining wire (60, 460) disposed alongside the restraining longitudinal portion (56, 456) prevents full radial expansion of a longitudinal portion (70, 470) of the stent-graft (40) by physically engaging the stent-graft longitudinal portion (70, 470), and (b) when the restraining wire (60, 460) has been withdrawn from at least the first enclosed longitudinal segment (52, 452), the restraining wire (60, 460) does not prevent the full radial expansion of the stent-graft longitudinal portion (70, 470).