1) Abed 2) Benumbed 3) Dead 4) Deceased 5) Dozy 6) Drowsing 7) Drowsy 8) Hibernating 9) Hypnoid 10) Idle 11) Inbed 12) Insensible 13) Morpheus 14) Not awake 15) Numb 16) Out 17) Sleeping 18) Sleepy 19) Sleepyheaded 20) Slumbery 21) Somnolent 22) Unaware 23) Unconscious 1) At rest 2) Bad thing to be at the wheel 3) Bad way to be at the wheel 4) Crashed, so to speak 5) Crashing 6) Dead 7) Dead to the world 8) Deep in slumber 9) Dormant 10) Dozing 11) Dozy 12) Dreaming 13) Drowsing 14) Drowsy 15) Experiencing REM 16) Exclusively Anglo word 17) Exclusively Saxon word 
[poem] `Asleep` is a poem by Wilfred Owen. It deals with the atrocities of World War I. ...
• (a. & adv.) In the sleep of the grave; dead. • (a. & adv.) In a state of sleep; in sleep; dormant. • (a. & adv.) Numbed, and, usually, tingling.
A·sleep' adjective & adverb [ Prefix a- + sleep .] 1. In a state of sleep; in sleep; dormant. « Fast asleep the giant lay supine. Dryden. » « By whispering winds soon lulled asleep . Milton. » 2. In the sleep of...
[adv] - in the sleep of death 2. [adv] - into a sleeping state
adverb into a sleeping state; `he fell asleep`
A state of not being conscious.
in or into a state of sleep: He fell asleep quickly. · into a dormant or inactive state; to rest: Their anxieties were put asleep. · into the state of death.