Bearing for a shed-forming machine or a system for transmitting movement to the frames of a loom, which has an inner ring, an outer ring and rolling elements. The inner ring is centered on a major axis, has two lateral surfaces normal to the major axis, and defines a circular peripheral path centered on the major axis. The outer ring defines an inner path, which is circular and centered on the main axis. The rolling elements are interposed, radially with respect to the main axis, between the peripheral ring and the inner ring, to guide the outer ring in rotation relative to the inner ring around the main axis. The inner ring has at least one slot, opening onto the two lateral surfaces, extending opposite a portion of the peripheral path, and forms a bridge of material between the slot and the peripheral path.