A screw press includes a press chamber in which a screw shaft is mounted such that the screw shaft is surrounded by a screen jacket and is rotatable about a screw shaft axis. The screen jacket is fastened to a screen jacket holding device including at least one beam running through the press chamber. The screen jacket is formed of a plurality of multipart screen baskets configured to receive a plurality of screen basket inserts, each multipart screen basket of the plurality of multipart screen baskets includes a semi-cylindrical first screen basket half shell and a semi-cylindrical second screen basket half shell. At least one pivot hinge is disposed between the first screen basket half shell and the second screen basket half shell. A basket lug is disposed on the first screen basket half shell and the second screen basket half shell.