Allardyce’s current contract is up at the end of the season, but co-chairman David Sullivan has declared that there will be no negotiations over a new deal before then.
The club are in the midst of an impressive campaign which sees them sitting eighth in the Premier League table after 25 games, eight points behind fourth-placed Southampton, but last weekend’s 4-0 FA Cup defeat at West Bromwich Albion saw fan frustration boil over.
Allardyce is understood to have met with Sullivan and fellow co-chairman David Gold at the club’s training ground his week, per the Telegraph, with tension said to have risen over ownership’s decision to sign free agent Nene.
With the newspaper citing sources who rate the chances of a new deal as low as five per cent, the search for possible replacements is rumoured to have already started, and both David Moyes and former Hammers defender Slaven Bilic have been named as two potential options.
Nevertheless, Allardyce himself appears relaxed about the situation, and insists he is content to leave talks until the end of the campaign.
"The way the owners go about their business has not changed,” he said. “They made it clear and plain when we started negotiating.
"While it continues to build up speculation behind the scenes, I have always known that's the way forward.
"I have never pushed to get them to say what's going on in the contract situation because they made that perfectly clear since day one, when I joined the football club.
"It was the same when my contract ran out last time, I waited until the end of the season. We've stayed in the Premier League and it'll be the same this time.
"We all understand the situation internally, which is the most important thing."