Jorgen Strand Larsen's first-half goal gave Wolves a 12-point lead above the Premier League relegation zone after a 1-0 home win over West Ham.
Vitor Pereira's side were five points outside safety when he took over from Gary O'Neill, but successive league wins, the Molino club's third this season, have moved them closer to safety.
Evan Ferguson failed to convert a golden opportunity to give West Ham the lead on his debut for the club and the Hammers were punished by Larsen opening the scoring with his tenth goal of the season.
Marshall Munetsi hit the post to prevent Wolves extending their lead to a second goal and Graham Potter was forced to make a triple change at half-time.
Larsen was unable to find the net for a second and Wolves were left to rue missed opportunities when substitute Niklas Fullkrug hit the crossbar with a header and then failed to find the net in the dying minutes to hand Wolves their first home win in two months.
The Hammers almost took the lead when Toti passed the ball to Jarrod Bowen and the England winger broke forward and passed to Ferguson, who failed to get the hang of it and put the ball home.
Wolves opened the scoring in the 21st minute when Emmanuel Agbadu found Larsen in space, the Norwegian turned and fired in a shot from 20 yards, but the ball rebounded off Max Kilman and off goalkeeper Alphonse Areola.
The hosts came close to a second goal, this time Larsen providing the assist, rolling the ball back to Munetsi, who beat Areola but missed the crossbar.
Wolves looked confident and looked set to stamp their dominance on the second goal. Next up was Andre, who tried to get a shot off from long range, but his effort went harmlessly over the bar.
The home side continued to fight hard, Jean-Ricner Bellegarde's curled ball only touching the side of the pitch and play threatened to spiral out of control when Nelson Semedo and James Ward-Prowse went head-to-head.
Despite their dominance, Wolves were unable to extend their lead and Larsen fired wide after Matt Doherty's pass was passed to him in the box.
Wolves began to put pressure on and the visitors almost equalised when Fullkrug's header hit the crossbar and Emerson failed to clear a rebound from close range.
West Ham should have equalised when Toti passed to Tomas Soucek but the substitute's ball crashed into the net with the goal open.
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