Nigel Clough refused to be too despondent after the Blades slipped to defeat on the day of the Club's 125th birthday.
A goal in each half ensured that league leaders Wolves gatecrashed the party and also ended United's 11-match unbeaten run.
Afterwards, though, Clough remained positive, saying: "There was not much between the teams, we said it would be a good measure for us and it certainly was. The key was that they took their chances and we didn't.
"We had the best chance of the game through Stefan Scougall early on, had two good penalty appeals turned down and they have cleared one off the line from John Brayford.
"Wolves are the best team in the league and if you are going to lose your unbeaten run it might as well be to the team at the top of the table.
"We did well for long spells, you have to be careful because Wolves are dangerous, Edwards breaks from midfield and the wingers are a threat. You have to stay in the game for as long as possible and I thought that if we could have got a goal at any time then we would have been back in the game."