In Neil Warnock's first home game in charge since returning to the club, the Eagles were indebted to Speroni as they escaped with a 0-0 draw at Selhurst Park.
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Palace midfielder Jason Puncheon was next to try to break the deadlock as the home side continued to dominate, but he shot straight at the keeper from distance before striker Dwight Gayle blazed over from the centre of the box.
Mile Jedinak might have put Palace into the lead just before the break, but the home captain sent his header wide of the post after being picked out by Puncheon.
Warnock's men started the second half much like they had done the first, with Damien Delaney glancing a header just wide of the goal, while Puncheon lashed an effort into the side-netting.
Scott Arfield looked most threatening for the away side, who defended resolutely, with the midfielder seeing his shot saved well by Speroni, while another effort from distance flew just over the bar.
The two were to square up again in the decisive moment of the game as Jutkiewicz was brought down inside the box by Jedinak, leaving Speroni to pull off a one-handed diving stop to prevent Arfield from converting from the spot in the final 10 minutes.