Now that it's dark on my way to work again, I'm noticing a large proportion of vehicles with their lights off. Sure, the sun's close enough to rising that it's bright enough to see the road… but it's not quite bright enough to see your car. See, the real purpose of a car's lights is not to enable you to see, but to enable others to see you. It's why motorcycles are required by law to have their lights on day or night. It has nothing to do with seeing the road.
So unless the sun is a full diameter above the horizon, keep your lights on. It might allow someone to see you in time to avoid hitting you. And that someone may be me.