Douglas Harper's Etymology Dictionary
pertaining to the state of consciousness when awaking from sleep, 1901, from hypno- "sleep" + Greek pompe "sending away," from pempein "to send."
Wiktionary
a. Referring to the state of consciousness before becoming completely awake.
Wikipedia
A hypnopompic state (or hypnopomp) is the state of consciousness leading out of sleep, a term coined by the psychical researcher Frederic Myers. Its mirror is the hypnagogic state at sleep onset; though often conflated, the two states are not identical. The hypnagogic state is rational waking cognition trying to make sense of non-linear images and associations; the hypnopompic state is emotional and credulous dreaming cognition trying to make sense of real world stolidity. They have a different phenomenological character. Depressed frontal lobe function in the first few minutes after waking – known as " sleep inertia" – causes slowed reaction time and impaired short-term memory. Sleepers often wake confused, or speak without making sense, a phenomenon the psychologist Peter McKeller calls "hypnopompic speech". When the awakening occurs out of rapid eye movement (REM) sleep, in which most dreams occur, the hypnopompic state is sometimes accompanied by lingering vivid imagery. Some of the creative insights attributed to dreams actually happen in this moment of awakening from REM. In Deirdre Barrett's The Committee of Sleep, Margie Profet's McArthur-award winning biology experiment is shown to be one of these.
Usage examples of "hypnopompic".
She drifted into the last, hypnopompic layer of sleep, finding and losing dreams.
As he ascended from the hypnopompic depths and reached the surface, he realized that it was Charlotte, and she was up on the bed and he was down here on the floor, on the futon.
When you had access to the dream, you were in the hypnopompic state and your subconscious was open to you.
The hypnopompic state is an important time because the subconscious mind is open while you are conscious enough to give it direction.
In some cases these ghosts-in-plaid are accompanied by the odor of hydrogen sulfide and sudden chills or sudden blasts of heat, while other episodes are probably purely hypnopompic.