Hammers striker Carlton Cole has had his red card from against Everton last weekend rescinded retrospectively by the Football Association on Thursday - along with Everton midfielder Darron Gibson, following a successful appeal.
And Allardyce has sympathised with the match officials, stating that the limited pool to choose from is triggering fatigue-influenced mistakes.
"This is a difficult period for referees," he told reporters. "Why do they always seem to make more wrong decisions now? It's probably because they are overworked and they are fatigued and the system has to be looked at.
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"We had a couple in our last game and there have been many throughout football over the Christmas period.
"Fatigue is everything in terms of decision making. Once it kicks in you lose the ability to make those decisions correctly.
"They need to ease the load on the referees we have. The game needs to move on and look at recruiting better refs from all avenues."