Molineux head coach Nuno Espirito Santo was forced into one alteration to the side which won 2-1 at Bournemouth last weekend, with the suspended Romain Saiss replaced by Max Kilman, who was handed his full Premier League debut.
The Blades made two changes to the team which earned a 3-3 draw at home to Manchester United, with Dean Henderson and John Egan returning in place of Simon Moore and Phil Jagielka.
And the visitors made a perfect start as Lys Mousset collected a George Baldock cross and despatched a left-foot shot past Rui Patricio with just two minutes on the clock, scoring for the fourth time in his last six league appearances.
Following that early strike, the game settled down into a more sedate pace, before Henderson was extended to make a fine save to deny Raul Jimenez, whose header from a Matt Doherty cross was looping goalwards.
Jimenez and Leander Dendoncker threatened as the hosts began to exert some pressure, although John Fleck drew a save from Rui Patricio as the Blades attempted to double their lead.
Straight after the restart David McGoldrick forced Rui Patricio into further action, with Mousset doing the set-up work this time.
And McGoldrick was denied again by Rui Patricio soon afterwards, before the striker failed to make the most of yet another opening.
Those missed opportunities came back to haunt the Blades just past the hour mark as the hosts drew level at 1-1, with Jimenez sending in a cross with was headed home by the arriving Doherty.
McGoldrick failed to hit the target with a header soon after and was replaced by Oli McBurnie four minutes later, but neither side were able to find a winning goal as time ticked away.