A last-minute goal from Hugo Rodallega earned the Cottagers an invaluable victory and their manager says they need at least three more wins to stay in the top flight
The 60-year-old made two inspired half-time substitutions with Ashkan Dejagah providing an assist for the opening goal and Hugo Rodallega's glancing header earning a vital victory at the bottom of the table.
Magath admitted three points was vital if they were to continue their hopes of staying in the league and, as the club move to 18th in the league, believes it can act as a signal to other sides that they will survive.
"It was very important for us to win here after losing our last home game," Magath told reporters. "I think it was the last chance for us to stay in the league and therefore it was a very difficult game.
"I think it is a signal for everybody that we are back in the league and we are fighting against relegation. I think everybody who will see the game will tell you that we want to stay in the league.
"It doesn’t matter which team will come as we need at least three wins, more to stay in the league. We have to fight to win and today gives us the confidence that we can win against the other teams."
Boos rang out on the full-time whistle and Paul Lambert admitted home form must improve but, having seen the late goal arise from an error going forward, he maintained his belief of attacking till the end.
"We’ve got to rectify our home form there’s no two ways about it," said Lambert. "Away from home some of our best performances have come in the league games but you can’t keep losing at home.
"It’s a big club with a massive fanbase and if you don’t perform they let you know. I thought the game was too open and with seven minutes to go you would take the point.
"You’ve got to see the game through but when you have this size of fanbase they don’t expect us sitting behind a game and that’s not the way we play. I’d rather try to win a game than not."