Scott Parker’s side were downed by a Mats Weiffer double as the Clarets extended their winless league run at Turf Moor to 175 days.
More significantly, the Clarets now find themselves 12 points adrift of safety with only six games remaining, meaning relegation is now only a matter of time.
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It was a similar story for Burnley, who played okay but once again lacked the quality to register a result – although they were left to rue two close offside calls.
Here’s how Burnley’s players rated:
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5. Quilindschy Hartman - 6/10
Did okay, but relatively reserved in an attacking sense with his crosses being cut out. But gave little away defensively (Photo by Ryan Pierse/Getty Images) Photo: Ryan Pierse
6. Florentino Luis - 6/10
Made some important blocks and interceptions as he carried out a screening job on Burnley’s back four. (Photo by Molly Darlington/Getty Images) Photo: Molly Darlington
7. James Ward-Prowse - 6/10
Asked questions with his set-piece deliveries. Unfortunate not to claim an assist for Bashir Humphreys' disallowed 'goal' (Photo by Carl Recine/Getty Images) Photo: Carl Recine
8. Lesley Ugochukwu - 6/10
Denied at the near post with a clever flicked effort at the near post. Did okay, but a little quiet playing as the most advanced central midfielder. (Photo by Molly Darlington/Getty Images) Photo: Molly Darlington