Palace have not picked up a solitary Premier League...
Palace moved up to 16th, with Huddersfield a place further in front.
"To make certain we could keep our hopes of staying in the division alive because, had we not done that today, then suddenly the gap to teams like Huddersfield gets greater and greater and it's hard enough".
"We were determined today to take every opportunity that came our way to try and win this game and the longer the game went on the more composed we looked".
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Tomkins struck from close-range midway through the first period and Milivojevic converted a second-half penalty as Palace halted a four-game losing run to climb out of the bottom three.
The return of Wilfried Zaha to the Palace starting line-up after over a month out with injury not surprisingly had a positive impact.
Talisman Zaha and defender Sakho both started and their presence galvanised the Eagles, who took the game to a strangely subdued Huddersfield.
As for David Wagner's men, who failed to register a single shot on target before 80 minutes at home, the Terriers have some serious work to do in order to retain their top-flight status.
The second came, with an air of inevitability, when Zanka's lunging challenge brought down Townsend inside the area and Milivojevic confidently drove home the penalty.
"If you give the ball away too easily the distances between you and your team-mates are too big and then you're never able to win the ball back after you've lost it", said the German. "We are getting players back to fitness and our squad is looking like what it was when we were getting results", said Hodgson who added that the three points gained at the John Smith's Stadium were vital even if he and his team were not focused on the league table. They won just six matches with 15 losing games.