Wolves gave their hopes of playing European football next season a boost as they beat Fulham to move up to eighth in the Premier League.
Rayan Ait-Nouri opened the scoring early in the second half, converting from Toti Gomes' pull back after Fulham failed to deal adequately with a free-kick from deep.
There was more than a hint of good fortune about the second as Nelson Semedo's shot took a big deflection off Tom Cairney to leave Fulham goalkeeper Bernd Leno helpless.
Alex Iwobi pulled one back deep into stoppage time with a clever improvised finish but there was barely time for the game to restart as Wolves held on.
The win for Gary O'Neil's was all the more impressive given they lost both Jean-Ricner Bellegarde and Pedro Neto to injury in the first half.
Meanwhile, Fulham were left to rue missed opportunities having dominated the first half with Harry Wilson firing wide with only the goalkeeper to beat and Tosin Adarabioyo thumping a shot against the bar when left unmarked, eight yards out.
Wolves were a changed side after the break, quickly putting Marco Silva's side under pressure with an aggressive high press, led by the impressive Mario Lemina.
They were able to ease off slightly after going two ahead and although they managed to keep the visitors quiet for the most part, Jose Sa was forced to make a smart save to deny Joao Palhinha before Max Kilman headed Rodrigo Muniz's follow-up effort off the line.
Former Wolves winger Adama Traore also had a fierce shot repelled by Sa as Fulham's poor record at Molineux continues.
Iwobi's goal was their first in five visits to the ground and you have to go back to March 1985 for their last win at Wolves, a run of 18 games in league and cup.
Injuries stacking up but Wolves fight on
With forwards Hwang Hee-chan and Matheus Cunha already out and centre-back Craig Dawson also missing with a groin issue, the last thing Wolves needed was more injuries.
Losing Bellegarde inside the first 10 minutes was a blow but they have become a resilient side under O'Neil so hope remained.
But when star man Neto pulled up sprinting to get to the byeline shortly before half-time, it would have been understandable if that hope had started to fade.
Fulham had enjoyed much the better of the first 45 minutes and with Neto gone, so too, it seemed, was their main attacking threat.
However, the hosts came out with renewed vigour in the second half, snapping into tackles to make life difficult for Fulham and were rewarded with Ait-Nouri's goal.
Confidence was up and Joao Gomes did brilliantly to tee up Semedo with a back flick for the second, which ultimately went down as a Cairney own goal.
There was the odd scare as Fulham pushed to get back into the game but Wolves largely defended solidly as they claimed a victory that was fully deserved on the back of their second-half showing.
O'Neil and his side have an FA Cup quarter-final at home to Coventry next weekend and will be hoping there injury issues have cleared up before they are next in league action, against Aston Villa on 30 March.
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