A device (1) includes at least an inflatable balloon (2), an implantable port (2A), and a conduit (3) intended for connecting the balloon (2) and the implantable port in a sealed manner. The balloon (2), the port (2A), and the conduit (3) are filled with a gas, and the pressure is such that the balloon (1) is normally inflated but is capable of being compressed during systole. A catheter (5) slidingly carries the balloon (2) in a deflated condition. At least one anchoring member (6) is connected to an actuating wire (7) which is slidable in the catheter independently of the balloon (2). The conduit (3) and said actuating wire (7) are connected to the catheter (5) to either prevent or allow sliding of this conduit and of this actuating wire relative to the catheter (5).