A method produces a dental drill that has a shank and a work section. The shank contains a centrally arranged, continuous first channel. The work section contains one or more continuous, spiral-shaped further channels. The first channel and the further channels open into a common chamber connecting the shank and the work section. The shank is sintered with the work section in order to form a one-piece, sintered component that encloses the chamber connecting the shank and the work section.