Matheus Cunha's extra-time penalty set up the first Black Country derby in front of a crowd for more than a decade.
The last time Wolves met West Brom, the games were played behind closed doors in the 2020-21 Premier League season that was overshadowed by the Covid-19 pandemic.
But Cunha’s winner from the spot ensures these great rivals will face off at the Hawthorns in the FA Cup fourth round – their first game played under traditional circumstances since Albion won 5-1 at Molineux in February 2012.