An endoluminal prosthesis with a moveable fenestration including a tubular graft body having a proximal end, a distal end, a surface plane at least one fenestration having a perimeter disposed in a sidewall of the tubular body between the proximal end and the distal end, a first biocompatible graft material, and a second biocompatible graft material adjacent to and surrounding the perimeter of the at least one fenestration. The second biocompatible graft material has at least one characteristic different from the first biocompatible graft material and is more flexible than the first biocompatible graft material and is movable relative to the surface plane of the tubular graft body.