Hull meet Stoke City later tonight.
Bruce said: "We are nearly there but no-one believes we are safe yet. Not at all.
"We can't because football can be a really strange game. There are some big games coming up but if we play like we did at West Ham then I am sure we will be okay.
"We can take a lot of confidence out of the game. It was a really good performance and if we play like that for the rest of the season, we will win more than we lose."
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