'Big Sam' has enjoyed a productive season so far after being heavily criticised last term, but this recent run of poor form has again put the pressure on him.
With his contract set to expire at the end of the season, it seems that Allardyce could be entering the final few months of his time at Upton Park - especially with co-chairman David Sullivan telling the London Evening Standard last week that there are no planned talks over a new contract.
The Daily Mail reported over the weekend that the Hammers had assembled a five-man shortlist of potential replacements for Allardyce; David Moyes, Slaven Bilic, Michael Laudrup, Marcelo Bielsa and Frank Rijkaard.
That's an ambitious list of candidates, but the bookmakers currently have former QPR and Tottenham manager Harry Redknapp as the favourite for the job at 4/1.
A return to the club would be a huge shock - and he told Claret and Hugh in an exclusive interview that there is no chance of him making a shock Upton Park comeback.
"Tell everybody to keep their money in their pockets. It’s not going to happen," said Redknapp. "I don’t even know what’s going on at the club as far as Sam Allardyce is concerned. I read the reports but we will have to wait and see."
"What I do think is he has done a great job but predicting what is likely to happen in this game is a fool’s game. However, should a vacancy become available at the Boleyn I can promise you I won’t be filling it," he added.