Cooper is under pressure after a run of just one win in 12 games, a run that has left them in 16th place in the table and just five points above the drop zone.
The Nottingham Forest boss was in the position where a loss against Wolves could have sealed his fate, however Harry Toffolo's early effort meant that the Reds earned a point to keep the wolf from the door for a while longer.
But Cooper appears to be far from out of the woods just yet.
A 5-0 defeat to Fulham midweek left him in a precarious situation, with the west London side running riot at Craven Cottage.
Having lost to relegation-threatened Everton just before that, it was no surprise that he was feeling the heat with Gabby Agbonlahor saying that even the fans' support might not save him.
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Speaking after the Fulham game, he said: "They've got 13 points - Everton have been deducted ten and are only six points behind them. It doesn't look good.
"Fulham are a decent team, but Nottingham Forest shouldn't be losing 5-0.
"Steve Cooper seems like a really likeable guy and the fans are singing his name still, but the owners will be looking at the league table."