Bruce hailed his players for their manner of Sunday's 3-0 win over Sunderland which booked their place in the semi-finals for the first time in 84 years and guaranteed a trip to Wembley to face Sheffield United.
But he remains well aware that his side still have work to do to retain their place in the top-flight and they will head into next Sunday's home clash with Manchester City sitting just five points above the drop zone.
Bruce said: "I still think we've got to win a couple more games.
"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."
City's heroics - fashioned by three goals in 10 second-half minutes from Curtis Davies, David Meyler and Matty Fryatt - came in stark contrast to the Blues' experience as they were dumped out by Wigan at the Etihad Stadium.
Ironically City's defeat may yet prove to be bad news for the Tigers, as an Arsenal-City semi-final would almost certainly have ensured the winners of Hull's clash with the Blades would be guaranteed European football next season.
City midfielder Tom Huddlestone is already relishing his trip to Wembley and says the possibility of going all the way to the final would represent the fulfilment of a childhood dream.
Huddlestone told the club's official website: "I remember watching Wembley finals when I was younger. It would be a dream come true to play in one.
"When you're younger and you're watching those games, you never really feel that you're going to emulate those players but we've got a great chance to do that."
- Sports & Recreation