Wolves saw off the spirited second-half challenge from Stevenage on the day Jamie O’Hara returned to action.
Kevin Doyle’s sixth-minute opener gave Wolves a platform they didn’t really take advantage of and they had keeper Carl Ikeme to thank for two fine saves before man of the match James Henry made things safe 10 minutes from time.
With the points wrapped up, O’Hara came on to a very mixed reception for Bakary Sako seven minutes from time.
But Wolves fans showed they are prepared to give him a second chance as he left the pitch to cheers at the final whistle and showed his thanks by clapping and putting his thumb up to the South Bank.
Wolves should have been further ahead at the break but Bjorn Sigurdarson let Stevenage off the hook in the eighth minute then Lee Evans’s shot at the second attempt was headed off the line by Jimmy Smith a minute before the interval.
But Wolves had to live with a few scares from Stevenage and had Ikeme, who twice denied Francois Zoko to keep their lead intact before Henry’s third goal in as many games sealed it.
Head coach Kenny Jackett made two changes to the side that beat Bradford 2-1 last week.
Doyle returned to the starting line-up after his game-changing substitution at Valley Parade, and Sigurdarson was also recalled.
They came in for Kevin McDonald, who has a hamstring injury, and Leigh Griffiths, who was on the bench after returning from a trip home to Scotland with a heavy cold.
Just as they did at Bradford, Wolves started with a 4-3-3 formation, with Henry, David Davis and Lee Evans behind a front three of Sigurdarson, Doyle and Sako.
Captain Sam Ricketts was at right-back and Richard Stearman – who shook off a foot injury to start – played centre-back after they occupied the opposite roles last week.
Wolves pretty much controlled the first half, playing all the quality football against a more uncompromising Stevenage outfit.
The hosts’ first opening came after three minutes when Filipe Morais was booked for deliberate handball and Henry curled inches over from the resulting free kick.
But Wolves took the lead in their next attack when Doyle tapped home at the far post for his third goal of the season.
Sako created it, intercepting a pass in the Stevenage defence, before beating Jimmy Smith and whipping in a fierce, low cross into the six-yard box.
It should have been 2-0 two minutes later when Stevenage failed to deal with a giant kick from Ikeme and Sigurdarson was presented with a chance with only Chris Day to beat.
But he seemed to stop and allow the ball to carry through to the Stevenage keeper to beat.
Although Wolves, inspired by Doyle, were playing all the neat football, Stevenage created the next few openings.
Luke Freeman forced a falling save from Ikeme with a low drive from 30 yards in the 19th minute.
Ikeme was tested to the full 10 minutes later after tipping over Greg Tansey’s thunderbolt from similar distance.
Tansey was the man again in the 35th minute when he got to Morais’s hanging cross first only to glance inches wide.
But Wolves went desperately close to a second goal a minute before the break when Evans’s shot at the second attempt was headed of the line by Smith after a storming run from Ricketts, who beat two players before intelligently cutting the ball back inside.
Wolves kicked off to start the second half but it was Stevenage who created the first opening as Michael Doughty lashed a fierce low drive wide in the 47th minute.
Then Luke Jones’s header from a corner was nodded off the line by the impressive Ricketts four minutes later.
They were isolated threats however as Wolves remained in charge.
And things should have got more comfortable with the arrival of Griffiths for Sigurdarson in the 62nd minute.
Within a minute of his arrival, he was presented with the chance to make it 2-0 from Henry’s superb cross but he failed to get enough of his head on it from point-blank range and it sailed wide.
But Stevenage gradually worked themselves into the game to provide Wolves with several nervous moments.
Wolves had Ikeme to thank as he denied Zoko twice in three minutes on 71 and 73, first from an angled shot that required a smart dive to his left, then he reacted superbly to tip away from point-blank range.
But Wolves banished any fears that they were going to be pegged back as Henry notched his third goal in as many games when he curled home after beating the offside trap 10 minutes from time.
Wolves boss Kenny Jackett said: "It was a hard fought win. Stevenage are good at what they do and they never gave up.
"They pushed us today but it was a terrific clean sheet for us as well.
"We would like to have done more after being so dominant with possession, especially in the second-half. But it was key to get the points on the board.
"I thought Lee Evans and David Davis had a good game, they are progressing and improving all the time. They same must be said about Jack Price who is another youngster who has featured heavily this season.
"It'll be a tricky game at Carlisle. We should have Matt Doherty back and Leigh Griffiths should have fully recovered from his cold but Kevin McDonald will miss out after pulling his hamstring."