The Clarets’ long wait for a league win stretched to 16 games as the Hammers boosted their own survival hopes by claiming a 2-0 win.
For Burnley though, the picture looks bleak as they remain 11 points adrift but now with only 13 games remaining.
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Our photographer Kelvin Lister-Stuttard was on hand to snap the Clarets fans in the home terraces.
Can you spot yourself in our gallery of fan pictures?
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Burnley fans inside Turf Moor for the Premier League fixture against West Ham United. Photo: Kelvin Lister-Stuttard Photo: Kelvin Lister-Stuttard
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Burnley fans inside Turf Moor for the Premier League fixture against West Ham United. Photo: Kelvin Lister-Stuttard Photo: Kelvin Lister-Stuttard
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Burnley fans inside Turf Moor for the Premier League fixture against West Ham United. Photo: Kelvin Lister-Stuttard Photo: Kelvin Lister-Stuttard
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Burnley fans inside Turf Moor for the Premier League fixture against West Ham United. Photo: Kelvin Lister-Stuttard Photo: Kelvin Lister-Stuttard