A hybrid prosthesis (10) has a distal graft portion (20) with a tubular main body (21) including a biocompatible material and a support structure in the form of a stent (30). A tubular branch (40) extends from the main body of the distal graft portion and has a branch lumen in fluid communication with the main lumen of the distal graft portion. The body of the proximal graft portion (60) is an unstented surgical graft.