A clutch release bearing (17), in particular for a motor vehicle, having: a tubular body (30) through which at least one input shaft (11) of a gearbox is intended to pass; at least one actuator having a part, movable in translation along the axis (X) of the body (30), intended for actuation of a clutch diaphragm; a target (28a, 28b) whose position is representative of the position of the movable part of the actuator; and a detector (29a, 29b) capable of detecting the position of the target (28a, 28b). The target (28a, 28b) is offset angularly from the detector (29a, 29b) with respect to the axis (X) of the body (30).