A gearbox (BV) comprises a secondary shaft (AS) provided with a synchromesh (SB) comprising a flange (FL) comprising a sub-hub (SM) fixedly secured to the secondary shaft (AS) and provided with external splines (CE3), a hub (MO) comprising internal splines (CI1) collaborating with the external splines (CE3) of the sub-hub (SM) to allow translational movement with respect to the latter (SM), and a sleeve (MA) that can undergo a translational movement with respect to the hub (MO) so that the internal splines (CI2) thereof are closely coupled to dogs (CR) of an idling pinion (PF1). This translational movement of the hub (MO) with respect to the sub-hub (SM) guarantees close coupling of the internal splines (CI2) of the sleeve (MA) with the dogs (CR) with a minimal margin for translation, irrespective of dimensional variations in the manufacture of the sleeve (MA) and idling pinion (PF1).

A gearbox (BV) comprises a secondary shaft (AS) provided with a synchromesh (SB) comprising a flange (FL) comprising a sub-hub (SM) fixedly secured to the secondary shaft (AS) and provided with external splines (CE3), a hub (MO) comprising internal splines (CI1) collaborating with the external splines (CE3) of the sub-hub (SM) to allow translational movement with respect to the latter (SM), and a sleeve (MA) that can undergo a translational movement with respect to the hub (MO) so that the internal splines (CI2) thereof are closely coupled to dogs (CR) of an idling pinion (PF1). This translational movement of the hub (MO) with respect to the sub-hub (SM) guarantees close coupling of the internal splines (CI2) of the sleeve (MA) with the dogs (CR) with a minimal margin for translation, irrespective of dimensional variations in the manufacture of the sleeve (MA) and idling pinion (PF1).