The suspension bump stop device comprises a rolling bearing (44) that forms an axial bump stop, equipped with an upper ring (46), with a lower ring (48) and with a plurality of rolling elements positioned between the rings, the upper and lower rings being supported respectively by an upper cup (40) and a lower cup (42), the lower cup forming a bearing means for a suspension spring (18), at least one sealing lip being provided on one of the cups so that it bears against a bearing surface portion of the other cup. The bearing surface portion is substantially cylindrical, the sealing lip being directed downwards away from the rolling bearing and bearing with radial interference against the said surface portion, the said substantially cylindrical surface portion being connected towards the top to a shoulder against which the lip can bear if the two cups become radially eccentric relative to one another.