A device is described for continuously pressing liquid out of a suspension, in particular a screw press, which may have a rotationally-driven rotor, which may rotate in a tubular screw housing and support a conveyor screw. The screw housing may be at least partially formed as a first filter jacket, which may at least partially interact with the conveyor screw and which may have radial passages for discharging the filtered liquid and which may supply a filter cake, made of retained solids, in the conveyance direction of the conveyor screw to a discharge. To provide advantageous filter conditions, a ring-shaped first sleeve, which coaxially encloses the rotor, for peeling off an outer filter cake layer from the filter cake may be associated with the rotor, downstream from the conveyor screw. A conveyance channel for the remaining inner filter cake layer may be provided between sleeve and rotor.