A Raul Jimenez shot that took a heavy deflection off the head of Leeds United midfielder Kalvin Phillips gave Wolves a hard-fought away win in the Premier League.
Leeds dominated possession in the opening half, firing crosses into the box at a variety of angles and threatening from set pieces without creating much in the way of clear-cut chances.
Wolves improved greatly in the second half and had a Romain Saiss goal ruled out for offside before Jimenez drifted in from the right and cut back to shoot.
Phillips attempted to head clear, but only succeeded in wrong-footing his goalkeeper.
The narrow victory put Wolves sixth on nine points from five games, behind Leicester City and Arsenal on goal difference.
Newly-promoted Leeds are 10th with seven points.
“In the first half we didn’t find a way to receive their press but in the second half we played very well and found the space,” goal-scorer Jimenez said.
“It is difficult to score against this kind of team, they press very well. Sometimes you need fortune to score, it’s all about persistence,” he added.