Green’s Dictionary of Slang

(Aus.) to go to sleep.

1931		Townsville Daily Bull. (Qld) 4 June 7/3: Drunk, you snore off as you are an’ yer ready to imbibe at daybreak.
1941		Courier Mail (Brisbane) 14 Feb. 4/5: That’s the duty tent [...] we snore off there when we’re on duty and waiting for an alarm.
1957		‘Nino Culotta’ They’re a Weird Mob (1958) 145: ‘Wot about some brekker?’ Pat said. ‘’Ave ut when we wake up, matey. Snore orf first.’.
1960		‘Nino Culotta’ Cop This Lot 30: Now ut’s our turn ter snore orf.