An endoluminal prosthesis with a main tubular body and an auxiliary body surrounding the main tubular body to create a cavity between the main tubular body and the auxiliary body. At least one dividing wall attached to the main tubular body and the auxiliary body divides the cavity into at least two chambers, one of which has an outlet opening to the exterior of the prosthesis. Each chamber is in fluid communication with the main tubular body through fenestrations in the main tubular body and with each other.