A machine reaming tool includes a reaming head or interchangeable head (1) and a shaft (2), wherein the interchangeable head (1) is of one piece and may be exchanged, and in an axial direction and at each location, thus including means for the exchange adaptation, is thinner than a maximal thickness h.sub.max, wherein this maximal thickness h.sub.max is computed in millimeters from a diameter D1 of the interchangeable head in millimeters as h.sub.max=6 mm+(1/10)(D1-12 mm). On account of this, a guide portion (18) for cutters of the reaming head (1) becomes very much shorter than usual, but despite this ensures an adequate quality of machining. In a preferred embodiment of the invention, the interchangeable head (1) in a plane shaft-side end-face (15) comprises cutout (11) for the centering fastening on the shaft (2).