"We're in a horrible dogfight and there's eight or nine teams in with us who are all feeling it," said Bruce.
Bruce's side are 15th, four points above the relegation zone, and travel to Stoke on Saturday.
"The result against Manchester City gave everyone a lift at the right time and back-to-back wins against teams around us... how good that feels.
"Two weeks ago we were in the bottom three and now we're four points clear, but we've got to maintain it.
"We're not out of the woods yet. If you can put another couple of results together at this particular stage of the season, it will really help."
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