The Manchester United wing-back bagged the fourth goal in the sixth minute of first-half stoppage time in a World Cup qualifying match staged in Hungary.
Dorgu had the simple task of a tap-in from close range, after unselfish work by Rasmus Hojlund, the Reds striker currently on loan at Napoli in Serie A.
The defender also scored against Switzerland in the UEFA Nations League last year but is still awaiting his maiden strike for United, since signing from Lecce.
Dorgu also notched an assist against Belarus, when his fierce drive came back off a post and the rebound was converted by Hojlund.