If you can say: ‘I am asleep!’, that’s convincing evidence that you are awake.
The distinction of ‘Awake’ and ‘Asleep’ is always and only made in a wakeful state.
I tell you about my dream when, and only when, both of us are awake. We know nothing about ‘Dream’ and ‘Sleep’ except as very wakeful ideas.
[Doctors reassuringly measure sleep-meters only when they are awake, thank you very much.]
None of this hair-splitting lessens the veracity of my pronouncement today that I slept like a baby last night.