In a self-propelled road milling machine for working road surfaces, comprising a machine frame, comprising a milling drum mounted to rotate and extending in axial direction transverse to the direction of travel, and a milling drum housing enclosing the milling drum, where the milling drum comprises multiple tools circumferentially preferably arranged in the shape of a helix, where the tools, except for the axial peripheral area, feature a specified mutual line spacing, it is provided for the following features to be achieved: an oscillation drive exercises an oscillation stroke on the axis of the milling drum moving to and fro in axial direction relative to the machine frame, where the rotating movement of the tools is superimposable with an axial movement parallel to the axis of the milling drum, the stroke of which is adjustable to the line spacing between two axially neighboring tools.