Rhinos have unusual sleep patterns; none of this 8 hours a night business. We just go to sleep when We are saggy, and fidget forth when We are awake.
Also, We have other mental states, where the edges are fuzzy. Sometimes We are Asleep-ish, or Awake-ish, though the states are not identical.
Or Hypnotize-ish. Though just how that works is hard to recall, for the most part. Rhinos are pretty Suggestible.