Technologies and techniques for automatically preparing and/or executing a possible lane change with an ego vehicle traveling in moving traffic from a first lane to a second lane of a multi-lane roadway by means of a driver assistance system and to a driver assistance system. Gaps are detected between two vehicles, and the relative positions and movements of the gaps relative to the ego vehicle will facilitate a potential lane change of the ego vehicle. The driver assistance system adjusts the following distance and/or following speed of the ego vehicle relative to the vehicle ahead in such a way that changing a lane and merging into a gap of an adjacent lane is possible by means of a transverse guidance of the ego vehicle.