A reaming tool includes a main tool body disposed about a rotational axis, a plurality of peripherally arranged cutting inserts coupled to the tool body, and a fine adjustment mechanism associated with each cutting insert. The adjustment mechanism includes an adjusting screw with a conical section that acts on the cutting insert for fine adjustment, the conical section being arranged between a first and a second cylindrical guide section. The two guide sections ensure high-precision guidance of the adjusting screw.