This disclosure relates to a cutting tool having a tool head that can be rotated about its mid-axis and has a front end face and a circumferential surface, a plurality of cutting elements and associated chip grooves arranged to be distributed in the circumferential direction on the circumferential surface, and a channel system running through the tool head for the coolant supply to the cutting elements. According to this disclosure, the end face of the tool head has coolant grooves, which each lead from an outlet opening of the channel system to an end opening in a chip groove, wherein the longitudinal openings of the coolant grooves are covered by a baffle plate fixed to the front face of the tool head.