A
percutaneous bypass method for implanting a bypass graft between two vessels is described. The bypass graft comprises a first part and a second part, each having a tubular shape and comprising respective lumens. The method comprises the step of inserting a second sheath, from the outside to the inside of a bypass portion of the first part, through a puncture therein, and retracting the second sheath so as to deploy and
implant a hook portion of the second part into the second vessel, and deploy a bypass portion of the second part outside the second vessel, from the second vessel to the first part, and within the lumen of the first part.