A shaving system comprising a shaving device having a shaving unit and a cleaning device for cleaning the shaving unit, the shaving unit comprising at least one hair-cutting unit having: - an outer hair-cutting member comprising an annular shaving track with a plurality of hair-entry openings; and - an inner hair-cutting member rotationally arranged inside of the outer hair-cutting member; the cleaning device comprising: - a supporting structure for supporting the shaving unit in a cleaning position; - a receiving pit for receiving at least an end portion of the shaving unit including the at least one hair-cutting unit when the shaving unit is in the cleaning position supported by the supporting structure; - a reservoir for holding a cleaning liquid; - a pump and a conduit for transporting the cleaning liquid from the reservoir to the receiving pit; and - at least one liquid-injection nozzle communicating with the conduit and the pump and arranged and positioned in the receiving pit for directing the cleaning liquid delivered from the conduit directly to the hair-cutting unit of the shaving unit when the shaving unit is in the cleaning position; characterized in that the at least one liquid-injection nozzle is arranged and positioned in the receiving pit for generating a jet of the cleaning liquid that, when the shaving unit is supported in the cleaning position, propagates directly through one or more of the hair-entry openings of the shaving unit only in a single sector of the annular shaving track of the outer hair-cutting member extending over at most one half of the annular shaving track. - an outer hair-cutting member comprising an annular shaving track with a plurality of hair-entry openings; and - an inner hair-cutting member rotationally arranged inside of the outer hair-cutting member; the cleaning device comprising: - a supporting structure for supporting the shaving unit in a cleaning position; - a receiving pit for receiving at least an end portion of the shaving unit including the at least one hair-cutting unit when the shaving unit is in the cleaning position supported by the supporting structure; - a reservoir for holding a cleaning liquid; - a pump and a conduit for transporting the cleaning liquid from the reservoir to the receiving pit; and - at least one liquid-injection nozzle communicating with the conduit and the pump and arranged and positioned in the receiving pit for directing the cleaning liquid delivered from the conduit directly to the hair-cutting unit of the shaving unit when the shaving unit is in the cleaning position; characterized in that the at least one liquid-injection nozzle is arranged and positioned in the receiving pit for generating a jet of the cleaning liquid that, when the shaving unit is supported in the cleaning position, propagates directly through one or more of the hair-entry openings of the shaving unit only in a single sector of the annular shaving track of the outer hair-cutting member extending over at most one half of the annular shaving track. the cleaning device comprising: - a supporting structure for supporting the shaving unit in a cleaning position; - a receiving pit for receiving at least an end portion of the shaving unit including the at least one hair-cutting unit when the shaving unit is in the cleaning position supported by the supporting structure; - a reservoir for holding a cleaning liquid; - a pump and a conduit for transporting the cleaning liquid from the reservoir to the receiving pit; and - at least one liquid-injection nozzle communicating with the conduit and the pump and arranged and positioned in the receiving pit for directing the cleaning liquid delivered from the conduit directly to the hair-cutting unit of the shaving unit when the shaving unit is in the cleaning position; - a supporting structure for supporting the shaving unit in a cleaning position; - a receiving pit for receiving at least an end portion of the shaving unit including the at least one hair-cutting unit when the shaving unit is in the cleaning position supported by the supporting structure; - a reservoir for holding a cleaning liquid; - a pump and a conduit for transporting the cleaning liquid from the reservoir to the receiving pit; and - at least one liquid-injection nozzle communicating with the conduit and the pump and arranged and positioned in the receiving pit for directing the cleaning liquid delivered from the conduit directly to the hair-cutting unit of the shaving unit when the shaving unit is in the cleaning position; characterized in that the at least one liquid-injection nozzle is arranged and positioned in the receiving pit for generating a jet of the cleaning liquid that, when the shaving unit is supported in the cleaning position, propagates directly through one or more of the hair-entry openings of the shaving unit only in a single sector of the annular shaving track of the outer hair-cutting member extending over at most one half of the annular shaving track.