Jason Puncheon's 16th-minute strike secured back-to-back wins for Palace and moved them level on points with the Tigers, who have now lost four on the trot.
"We need another 17 points. There's 15 games to go and we still need more than a point a game, and in the Premier League that's tough," said Pulis.
"It's a massive ask, so we wont get carried away - we can't afford too. We are pleased with the points we have so far but we can't take our foot off the pedal."
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