Consciousness is coessential with time, it doesn't just appear in time but is of the nature of time. Time too, may be of the nature of consciousness. This is to say that the gap between the experiencing and the experience is temporal, whatever you are conscious of is always a moment after the knowing of it, so the knowing itself can never be experienced. In other words there is no consciousness of consciousness. If the experiencing is a true being then there must be a mode of it dependent of flowing time. This could not be consciousness in any way that you know it, but something else 'known' is a quite different way.