Tool cassette having a receiving pocket for receiving a cutting insert which, by means of a clamping screw which extends through a hole which extends through the tool cassette, can be fixed in a positionally adjustable manner in a tool cassette seat of a carrier member of a cutting tool, having: an adjustment device which is integrated in the tool cassette for adjusting the radial position, axial position and/or angular position of the tool cassette relative to a longitudinal centre axis of the carrier member, by means of cooperation with one or more side walls (22b, 22c) of the carrier member delimiting the tool cassette seat, wherein the adjustment device has one or more adjustment wedges (51, 52, 53) which are each arranged displaceably along a defined displacement axis (34a, 35a, 36a) in a guide (34, 35, 36) which is formed on the tool cassette and which cooperate by means of a wedge face (51b, 52b, 53b) with a facing side wall (22b, 22c) of the tool cassette seat, characterised in that the guide (34, 35, 36) is formed by a cylindrical recess in which the respective adjustment wedge (51, 52, 53) is displaceably received along the defined displacement axis (34a, 35a, 36a) and which intersects with the side (32b, 32c) of the tool cassette facing the opposing side wall (22b, 22c) of the tool cassette seat at an acute angle in such a manner that there is formed an opening which releases the wedge face (51b, 52b, 53b) of the adjustment wedge (51, 52, 53) and the adjustment wedge (51, 52, 53) is formed by a sleeve member which is received in the recess (34, 35, 36) and which with the exception of the wedge face (51b, 52b, 53b) has a cylindrical covering face which extends in the direction of the displacement axis (34a, 35a, 36a). an adjustment device which is integrated in the tool cassette for adjusting the radial position, axial position and/or angular position of the tool cassette relative to a longitudinal centre axis of the carrier member, by means of cooperation with one or more side walls (22b, 22c) of the carrier member delimiting the tool cassette seat, wherein the adjustment device has one or more adjustment wedges (51, 52, 53) which are each arranged displaceably along a defined displacement axis (34a, 35a, 36a) in a guide (34, 35, 36) which is formed on the tool cassette and which cooperate by means of a wedge face (51b, 52b, 53b) with a facing side wall (22b, 22c) of the tool cassette seat, characterised in that the guide (34, 35, 36) is formed by a cylindrical recess in which the respective adjustment wedge (51, 52, 53) is displaceably received along the defined displacement axis (34a, 35a, 36a) and which intersects with the side (32b, 32c) of the tool cassette facing the opposing side wall (22b, 22c) of the tool cassette seat at an acute angle in such a manner that there is formed an opening which releases the wedge face (51b, 52b, 53b) of the adjustment wedge (51, 52, 53) and the adjustment wedge (51, 52, 53) is formed by a sleeve member which is received in the recess (34, 35, 36) and which with the exception of the wedge face (51b, 52b, 53b) has a cylindrical covering face which extends in the direction of the displacement axis (34a, 35a, 36a).