Late Middle English: from Latin insatiatus, from in- ‘not’ + satiatus ‘filled, satisfied’, past participle of satiare (see satiate).
Children of parents who read at bedtime are insatiate. They always counter, “Just one more chapter, please!” when Daddy says, “Time to go to sleep.”
“Just one more chapter” remains the request I make of myself, these days. At 72, my parents no longer read to me, but I am just about the same insatiate self in spite of growing up and old.