Green’s Dictionary of Slang

dopey n.2

[UK, US dial. doup, dowp (first recorded in context of the bottom of an egg), the buttocks]

the buttocks, the rump.

[UK]Barrère & Leland Dict. of Sl., Jargon and Cant.
[UK]Farmer & Henley Sl. and Its Analogues II 309/2: Dopey the podex (old).
[UK]Partridge DSUE (1984) 332/1: C.18.