It was Slaven Bilic's first win of a torrid league season so far and came courtesy of goals from Pedro Obiang and Andre Ayew.
Bilic has been under pressure and the likes of Rafael Benitez and Roberto Mancini have been linked with his job.
The win eased that pressure but Sky Sports pundit Paul Merson feels it could pile back on to the Croatian as he predicts West Ham to lose at the Hawthorns on Saturday despite Tony Pulis' side going into the game off the back of a 3-1 defeat.
"West Ham got a good result on Monday, but a lot for them depends on Andy Carroll.
"(But) I think West Brom have the players who could cope with him."
Carroll actually has a good goal record against West Brom and the Hammers will travel to the Midlands with renewed confidence despite losing all three of their league away games so far.
A huge plus for Bilic is the return of Marko Arnautovic to the fold after he was banned for three games following his sending off for a stray elbow against Southampton.