The Mexican scored the only goal of the game in the 58th minute, tucking away Daniel Podence's neat cutback from outside the penalty area.
Story of the match
Both sides made one change each to their fixtures prior to the previous international break. For Wolves, Podence started a league match for only the second time this season with Francisco Trincao dropping to the bench.
David Moyes' change was a forced one and it came in the shape of Craig Dawson replacing Angelo Ogbonna, with the Italian defender set to miss the rest of the season after damaging his anterior cruciate ligament.
A cross from the left was directed just wide by Bowen before Soucek's curling attempt from outside the area failed to cause Jose Sa any problems moments later.
The hosts did manage to grow into the game and showcased their quality as the first half went on. Ruben Neves' shot from distance was too easy for Lukasz Fabianski before Jimenez was presented with a golden chance.
Neves' delicious pass over the West Ham defence handed Jimenez with only the goalkeeper to beat but the striker's chipped strike trickled wide.
Wolves came out in the second half in the exact same way they ended the first, on top. Podence's audacious strike looked like it was going to hit the back of the bet, but Fabianski reacted superbly to tip the ball out for a corner.
Shortly before the hour mark, Lage's men made their dominance pay through Jimenez's third goal of the season. Some brilliant forward play by Nelson Semedo and Jimenez saw the Wanderers cut through the Hammers defence with ease.
Podence's smart cut back to the Mexican was perfect and he swept the ball into the bottom corner.
Moyes' side should have levelled in the final 25 minutes through Bowen. A nice piece of play between the winger and Michail Antonio created space for the 24-year-old, but he effort had too much on it.