A prosthesis having a tubular body of a biocompatible graft material having a proximal end, a distal end, a lumen therethrough, and a sidewall. The prosthesis includes at least one perfusion branch extending from the sidewall of the tubular body and having a proximal end, a distal end, and a lumen therethrough, where the lumen of the perfusion branch is in temporary fluid communication with the lumen of the tubular body. The perfusion branch comprises a self-sealing component, that after predetermined period of time precludes fluid flow out of the distal end of the perfusion branch.