David Flitcroft is targeting the teams above his Barnsley side after they moved out of the npower Championship relegation zone with a fourth successive win.
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The Reds overcame an early deficit against Wolves thanks to second-half goals from Chris Dagnall and Jacob Mellis, which eclipsed Bjorn Sigurdarson's early strike, and it extended a remarkable run of form under Flitcroft.
It was their eighth win out of nine and the sixth in a row in all competitions and after looking dead and buried before Christmas, Championship survival is now in their own hands.
And with the way they are playing, the 39-year-old Flitcroft, who has been in charge since mid-January, is eyeing a further rise up the table.
"Getting out of the bottom three was the first objective I set," Flitcroft said. "Five or six wins on the spin and now we are out of it and we are looking up.
"It is the teams above that start thinking they are safe around Christmas.
"We have got the momentum. We keep applying more pressure on the bottom 10 and that is the aim."
The Reds were second best in the opening 20 minutes as Sigurdarson's early goal put Wolves ahead and Jamie O'Hara then hit the underside of the bar, with the naked eye suggesting the ball bounced over the line.
But they responded in style and had a host of chances to equalise in the opening half. They made amends after the break and Dagnall's seventh goal in eight games and Mellis' 76th-minute winner earned the points.
And after being drawn against Manchester City in the FA Cup quarter-finals at the weekend, Flitcroft was delighted his side remained grounded.
"It was an incredible win," he added. "You could feel the pressure at the start of the game because of the run we have had.
"I said to the lads at half-time we just needed one goal. Once we got that I knew we would win the game.
"The performance after getting an incredible draw in the FA Cup was superb.
"That's why the win is incredibly big, we have had get back to earth. On Sunday night I was dreaming of the Wolves team and Manchester City, I had Sylvan Ebanks-Blake linking up with Sergio Aguero. So I had a sleepless night!"
Barnsley's move out of the bottom three came at the expense of Wolves and leaves Dean Saunders without a win in seven games at the helm.
And the beleaguered boss was left to rue missed chances and pleaded for a change of fortune.
"We just need a bit of luck," he said. "Jamie O'Hara's shot might be over the line and we go 2-0 up. We could have scored a few more.We have had chances and it's just not going for us at the minute.
"I have got to try and sort it out. We don't want to be in the bottom three obviously but we have lost a game narrowly again.
"Since I have been here the three we have lost have been 2-1 and they could have gone either way.
"It's a kick in the teeth, everyone is trying their best, we just need to get one win and then we can relax when we get it front."