Green’s Dictionary of Slang

push in the truck n.

[rhy. sl. = fuck n. (1a)]

sexual intercourse.

[UK]J. Curtis They Drive by Night 212: I ain’t had a push in the truck since I come out of the nick and I’d like to have another before they top me.
[UK]J. Franklyn Dict. Rhy. Sl.
[UK]Dodson & Saczek Dict. of Cockney Rhy. Sl.