doze (v.)

"to sleep lightly or fitfully; fall into a light sleep unintentionally," 1640s, probably from a Scandinavian source (compare Old Norse dusa "to doze," Danish døse "to make dull," Swedish dialectal dusa "to sleep") and related to Old English dysig "foolish" (see dizzy). Perhaps originally a dialect word in English and earlier than the attested date. Related: Dozed; dozing. As a noun, "a light sleep or slumber," from 1731. To doze off is by 1829.