Six straight Premier League defeats have left the Eagles hovering just above the relegation zone but will the 55-year-old be given the opportunity to turn their form around?
An FA Cup run that ultimately ended in defeat at Wembley was enough to mask Crystal Palace's poor form in the second half of last season but results have shown little sign of improving in the current campaign.
A run of six consecutive losses culminated in an astounding 5-4 reverse against fellow strugglers Swansea City and Betfair now make Alan Pardew just 4/6 (1.67) to be the next Premier League boss to leave his post.
The Eagles have picked up 11 points this season, enough to see them outside the relegation zone albeit only on goal difference but the dismal results that concluded last term have only added to the pressure on their struggling boss. The bookmakers still make Palace a 9/2 (5.50) shot to actually go down this season, a price that perhaps speaks more about the lack of quality in the sides around them than as a ringing endorsement of the London club's survival credentials.
While it may be some time before the Selhurst Park faithful begin to seriously worry about life in the Championship, the growing discontent with a manager who has failed to produce consistent results in the past 11 months could see a change made sooner rather than later.
This run of form must be increasingly more frustrating after the 55-year-old was backed in the transfer market this summer, spending big on the likes of Christian Benteke, Andros Townsend and James Tompkins but failing to produce results on the pitch.
Palace have been dismal in 2016, there is little doubt of that. A tally of 22 points from 32 league games is relegation form and there must be doubts growing over whether or not Pardew is the man to steer the team away from such a rotten run, especially with his side conceding an alarming amount of goals.
With three of their next four league games against Southampton, Manchester United and Chelsea, it's understandable to see odd on quotes for his departure coming next.
Despite Bob Bradley getting his first league win as Swansea City manager in that bizarre 5-4 clash at the Liberty Stadium, the bookmakers still believe the American is under a decent amount of pressure in south Wales.
Despite only joining the Swans in October, the former Roma boss is second favourite to go next at 7/2 (4.50) with Betfair. The same firm are 4/1 (5.0) that David Moyes, another relatively recent appointment, is the next to leave his role at Sunderland while Mike Phelan, who only took the Hull City job full time six weeks ago, is 9/2 (5.50).