A feeder chuck according to the invention includes a tubular chuck body with an axial bore through which a bar is passed, with a downstream section including longitudinal slots enabling elastic deformation in the radial direction. An exterior envelope with an internal conical clamping bearing surface comes into contact with an external conical clamping bearing surface of the chuck body, and is screwed onto the chuck body. The intermediate portion of the exterior envelope has a capacity for elastic deformation in the longitudinal direction, for example by virtue of oblique openings. The feeder chuck therefore has a capacity for adjustment of its diameter combined with improved radial retention of the bar.