The Hammers boss has endured a poor start to the season with the club just outside the relegation zone while on a run of four matches without a victory.
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That run could be set to stretch to five with Ivan Toney bagging his tenth goal of the season as he reacted quickest from close range to prod the ball home after 18 minutes of the game.
Things then got worse shortly before the break when Josh Dasilva run in-behind Angelo Ogbonna before converting past Lukasz Fabianski.
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While Thomas Frank will be delighted with their start, he'll know that they were fortunate to go ahead after a dominant start to the game from West Ham that saw Declan Rice go close with a long-range effort that cannoned off the post.
While the Hammers battled to try and get back into the game, it was too little too late as they fell to a defeat.
The feeling of the West Ham fans was clear to see as supporters flooded to the exit doors, leaving the stands at the London Stadium all-but empty.
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Brentford fans were loving life, however, as they sang 'you're getting sacked in the morning' to the West Ham boss, before chanting 'we've got more fans than you' as the home supporters made an early dash for the exits.
With the boos ringing out loud and clear at full-time, it seems that everything is far from rosy as the future of Moyes remains anything-but clear.