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.
While Hull paraded a new B£14million strikeforce in Shane Long and Nikica Jelavic, Pulis has yet to bring in anyone so far this month and will now spend the rest of the week trying to add to his squad.
"We are hoping and praying the next couple of days will see us bring a few in," he said.
"We need to. Everyone is working hard behind the scenes. But you can't criticise what players have done, they've been wonderful.
"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.
"Its a massive ask, so we wont get carried away - we can't afford to. We are pleased with the points we have so far but we can't take our foot off the pedal."
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- Jason Puncheon