A method for operating an electrical power steering system of a transportation vehicle wherein a steering wheel angle is pre-defined by a steering wheel as a measure for a desired wheel steering angle for at least one steerable wheel of the transportation vehicle, where an electrical power drive with an electric motor provides a steering support, and where a support torque of the steering support is reduced based on a damping function in response to the combustion engine of the transportation vehicle being started. Also disclosed is an associated electrical power steering system, to a computer program, and to a control appliance.