Move all your vehicles off the asphalt driveway. Drive them slowly, and do not turn the wheel too sharply to avoid scarring the asphalt.
Stand at the top of the new driveway with a garden hose. Turn the garden hose on low pressure.
Water the driveway with the garden hose from the top of the driveway to the bottom. The water may produce suds as the chlorine in the tap water reacts to the diesel in the asphalt. Continue watering until the asphalt hardens.