In a drum housing for a working drum of a construction machine or mining machine for working off milled material movable in a working direction, said working drum being provided with tools and rotating about a drum axis, with a housing shell that at least partially encloses the circumference of the working drum, and with at least one monitoring device arranged radially outside of the housing shell, said monitoring device inspecting the condition of the working drum or of the tools thereof, it is provided for the following features to be achieved: at least one inspection opening for each monitoring device is arranged in the housing shell, and a partial flow of the milled material passes through the at least one inspection opening during the milling operation and guiding devices conduct the partial flow, in radial direction behind the housing shell, in front of or behind the working drum as seen in the working direction.