Tubular prosthesis for deployment in a human body passageway comprises a tubular member adapted for placement in a passageway in a human body and a tube. The tubular member has a tubular wall, first and second end openings, and a side opening formed in the tubular wall between the first and second end openings. The tube has a first end portion and a second end portion. The first end portion of the tube is disposed in the tubular member and has an opening arranged relative to the side opening such that an elongated element (e.g., a guidewire) can be passed through the tube and out from the side opening in the tubular wall where it can enter a branch passageway. The tube can be releasably secured to the tubular member in such as manner that it can be detached from the tubular member and withdrawn after the elongated element is passed through the side opening and placed in a desired position.
