The Tigers have booked themselves a FA Cup semi-final spot for the first time since 1930, but the manager is now keen to secure the club's Premier League survival
Bruce's side put three goals past Sunderland at the KC Stadium on Sunday to move into the final four of the cup for the first time since 1930.
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"I still think we've got to win a couple more games," he told reporters.
"We're a newly promoted club and we've made huge strides very quickly but there is still work to do and it carries on.
"We have to get ready to play Manchester City at home. But that's the Premier League - we have to address that and make sure we stay here and get better and better."
Hull have shown inconsistent form in the top flight of late - winning twice, losing twice and drawing once in their last five outings and the club return to league matters on Saturday with the visit of title contenders Manchester City.