Victory for Hull on Friday would put them on 80 points and, if Watford fail to beat Blackburn on Saturday, a return to the top flight would be secured.
The Tigers were previously relegated in 2010 and failed to mount a promotion challenge in their first season in the Championship, finishing 11th under Nigel Pearson.
Nick Barmby replaced Pearson in November 2011 and, although they finished eighth last season, they were eight points off the play-off places and 20 points behind Southampton, who finished second.
Bruce took over last June and they have exceeded expectations since. Hull have been in the top six since the end of October and need four points from their remaining three games to regain their Premier League status.
"I don't think there will be any complacency at all, there can't be," Bruce told Sky Sports.
"We know the huge reward is there - it is within touching distance - there won't be any complacency, nerves and edginess but that is natural and we have to overcome that.
"We just have to go and get the result we need. We have a sprinkling of some experience and some players who have not been in this situation before but it is what you play football for, big nights like this and when the prize is so big, that is why we are in it.
"We have had a remarkable season considering we are 66/1 outsiders at the start, and let's hope we can finish it off or at least take a big giant step towards it."