This device includes an outer casing having: a first tubular zone (16) to the inside of which a finger (4) is fastened; a second tubular zone (40) of larger outside diameter than that of the first tubular zone (16) and extending the first tubular zone (16); and an elastically deformable part (18) of annular shape, extending in a plane transverse to the first tubular zone (16) and connecting the first tubular zone (16) to the second tubular zone (40). The pressure sensor (8) is placed between, on one side, an element (30) integral with the finger and, on the other side, a fixed element (20), called an interface, which is integral with the second tubular zone (40). The interface (20) has an axial contact zone (42) for contact with an element constituting the second tubular zone.