The crossword solutions for the term 'fall asleep, with 'OUT'' are ZONK and ZONE. ZONK is a slang term that means to fall asleep suddenly and unexpectedly, usually due to exhaustion or boredom. It is often used in the phrase 'to zonk OUT'. ZONE is a state of deep relaxation or concentration, often associated with meditation. It can also refer to a state of being completely absorbed in an activity or task. Both terms can be used to describe the act of falling asleep.