A syringe assembly including a syringe and a safety device, the syringe including a barrel of tubular shape, the safety device including a member of tubular shape referred to as a syringe support in which the barrel is arranged such that the syringe support and the barrel are secured on the same axis. The syringe barrel has a flange at a proximal end that is prevented from moving in translation between a peripheral bearing seat and an abutment of the support. Interposed between the seat and the flange, the assembly includes at least one compression pad between the seat and the flange and made of a material presenting a coefficient of friction relative to at least one of the materials of the flange and of the seat that is greater than the coefficient of friction of the materials of the flange and of the seat relative to each other.