The Tigers were comfortably beaten at the KC Stadium on Sunday in what was a rehearsal of next month's FA Cup final.
However, with Hull only six points clear of danger with four games left to play, Bruce wants his side to forget their upcoming trip to Wembley Stadium and focus on survival.
"We still have a bit of work to do in the Premier League before we can look at the FA Cup final," he is quoted as saying by BBC Sport.
"We have done very well in getting points off the teams around us and that is what we have to do against Fulham and Aston Villa next."
Hull are back in action on Saturday when they travel to Fulham in the league.