The hydraulic stop member comprises: a cup-shaped body mounted in a compression chamber of the shock-absorber. A piston is mounted at an end of a rod of the shock-absorber so as to slide in the cup-shaped body when the shock-absorber is close to an end-of-travel position of the compression stroke. The cup-shaped body includes a side wall and a bottom wall which define, along with the piston, a working chamber where a damping fluid of the shock-absorber is compressed by the piston. A bypass conduit connects a working chamber with the portion of the compression chamber placed above a seal ring. A pressure relief valve keeps the bypass conduit closed as long as the pressure in the working chamber remains below a given threshold value and to open the bypass conduit, thereby allowing the discharge of the damping fluid from the working chamber to the compression chamber through the bypass conduit, when the pressure in the working chamber exceeds the threshold value.