And Shakespeare, who worked with Allardyce during his brief stint as England manager earlier this season, says that Palace's form does not come as a shock to him.
The Foxes have themselves risen dramatically up the table with Craig Shakespeare guiding them to six straight wins in all competitions.
Goals from Robert Huth and Jamie Vardy put the champions on course for victory at Selhurst Park before Yohan Cabaye pulled one back and Benteke nodded home an equaliser 20 minutes from time.
- Crystal Palace are unbeaten in their last four Premier League games at Selhurst Park (W3 D1), their longest unbeaten streak since February 2014.
Player ratingsCrystal Palace: Wayne Hennessey 5, Joel Ward 6, Martin Kelly 5, Mamadou Sakho 6, Jeffrey Schlupp 7, Luka Milivojevic 7, Yohan Cabaye 8, Jason Puncheon 7, Wilfried Zaha 6, Andros Townsend 8, Christian Benteke 8. Permission to use quotations from this article is granted subject to appropriate credit being given to www.theeagleonline.com.ng as the source. But we did that and we came back from 2-0 down.
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Bale, who has laboured with an ankle injury recently, came off on 58 minutes and Real raised the tempo after he trudged off. The first half belonged to the home side and Arturo Vidal who nearly scored a brace.
Palace struck back impressively and were back in the game inside two minutes.
"We're going to win the league", the travelling support sang for 15 minutes after the final whistle last March, when Riyad Mahrez's first-half strike settled a scrappy encounter in their favour and saw Ranieri's men move eight points clear at the summit of the standings.
You can argue Leicester having to recover from their midweek jaunt to Spain has been factored into Palace's price but they were winners at West Ham immediately after knocking Sevilla out of the Champions League so there should be no real excuses on that front.
Palace have won five of their last six matches, recording famous victories over London rivals Chelsea and Arsenal.
52' - GOAL! Crystal Palace 0-2 Leicester City (Vardy).
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Allardyce has attributed his side's recent run of results to much improved defensive displays but would not have been happy when Palace fell behind to a routine long-throw routine after just six minutes.
"In terms of recovery we've had this fixture planned for a while".
To the surprise of most, Craig Shakespeare resisted the urge to rest the majority of his first-choice players with a view to Tuesday evening and field a shadow line-up.
Again Palace did not lose belief, and within two minutes scored their first goal. "We know what it's about", Shakespeare said.
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