Hull have enjoyed back-to-back wins.
"We're not out of the woods yet," said Bruce. "We're in a horrible dogfight and there's six or eight teams all in it.
"Wins against teams in and around always helps you.
"In a week, we're down to single figures in terms of games to play.
"The result against Man City gave everyone a lift and then we've had back to back wins over teams around us.
"We've got to maintain that."