It's the refineries that were in trouble if I remember correctly. Oil supply wasn't going to be nearly as affected as the refineries that turn the oil into fuel. Since the refineries shut down, there was going to be a lot of oil waiting for them when they open up again--which is why oil is probably going down. And since refineries are closed, fuel isn't being produced as much, hence the higher fuel prices.
At least, that's what I remember hearing anyway. I'm sure if I'm wrong I'll hear plenty about it.