The present invention relates to a device for machining mechanical parts by means of a hollow cylindrical tool presenting a distal end with a free edge that is shaped to perform machining when said tool is rotated about its axis. In accordance with the invention, the hollow cylindrical tool is fitted internally with a transverse member forming a shaving-breaker, and said hollow cylindrical tool is secured axially to a distal end of a hollow cylindrical spindle, said hollow cylindrical spindle being mounted to rotate about its own axis on a support plate, and being driven externally by rotary drive means mounted on said support plate, and said hollow cylindrical spindle having a proximal end facing and directly adjacent to a hollow cylindrical endpiece secured to said support plate and connected to a suction hose, such that the machining shavings can be evacuated internally by passing successively through the hollow cylindrical tool going round the transverse member forming a shaving-breaker, through the hollow cylindrical spindle, through the hollow cylindrical endpiece, and through the suction hose.