The invention relates to a chip-removing tool (10) for deburring bores (1), which laterally open into a cylindrical recess (2) for example, comprising a shaft (20); a cutting head (30) with at least one cutting wedge on the circumference, said cutting wedge being paired with a flute and having a cutter (31), which extends in an axial direction at least in some sections, carries out a cutting process on the basis of a relative movement between the tool and a workpiece, and lies on a virtual cylindrical rotational surface (40) with a diameter that corresponds to the nominal diameter of the chip-removing tool, and at least one cutting wedge- and flute-free surface region (32); at least one fluid channel (21) which is closed on the cutting head side and which extends through the shaft (20) andinto the cutting head (30); and at least one puncture channel (50) which starts from the fluid channel (21) and comprises an opening (51) that lies in the cutting wedge- and flute-free surface region(32). According to the invention, the chip-removing tool (10) has a dynamic pressure active surface (60, 160, 260) which is radially recessed relative to the virtual rotational surface (40) of the cutting head (30) and which is larger than a flow cross-sectional surface of the at least one puncture channel (50) at the opening (51).