The invention concerns a method of driving assistance for assisting a human driver in safely driving a vehicle called host vehicle, implemented by a processor on board of said host vehicle. The host vehicle comprises means for obtaining first information relative to the host vehicle and means for obtaining second information relative to at least one other vehicle in a neighborhood of the host vehicle, said first and second information being obtained at regular time instants, comprising triggering an intervention of a collision avoidance system. The method comprises a step (51) of intervention decision adapted to decide whether to trigger the intervention of the collision avoidance system at a current time instant (Tc) or to postpone said intervention decision at a later time instant (Tl) depending upon additional first and second information to be acquired between the current time instant (Tc) and the later time instant (Tl), said additional first and second information having an associated probability. The invention also concerns an associated system of driving assistance.