The youngster last scored when grabbing the winner at Arsenal eight weeks ago but was on the mark again with a clinical finish after being teed up by Antonio Valencia in first-half stoppage time.
When asked by MUTV if he was getting concerned about a possible drought, he replied: "Before the game, I actually thought I do need a goal. Thankfully, it came today.
"But you can't let these things play on your mind, you just play your normal game and, as long as the team keeps winning, that's the main thing."
Welbeck was on the receiving end of the late tackle by Ronald Zubar that earned the Wolves defender a second yellow card in the first half and the England international was in no doubt that referee Anthony Taylor made the right call.
"I don't think he should commit himself on the line as I wasn't really going anywhere and he dived in," said Welbeck. "It was a bit of a rash tackle. It's up to the referee to make the decision and he gave him another yellow card."
The away form this season has been outstanding, after the performances on the road last term were, on the whole, a little below par, but the forward is unable to explain what the difference has been since his own return from the loan stint at Sunderland.
"I couldn't really say," he stated. "I don't really know. We come away and have performed well, passed the ball around and really attacked teams.
"We're Manchester United and we come to away grounds and want to win every single game."