Mark Hughes' men open their Premier League campaign at Ewood Park after a summer in which they have recruited over £100million of talent in a bid to challenge for a top-four finish.
Dunn accepts Rovers may not be in the same league financially but warns City they will make up for that with sheer will to win - and a good dose of aggression.
"It's important we do our best and kick lumps out of them - fairly of course," he told the Daily Star.
"We have to be very strong and organised and the main thing is we will have to be really aggressive against them and knock them about a bit. That's what the manager will be asking from our lads. We have to make Ewood Park a place no-one wants to come to again."
Dunn added: "I think it is a good time to play City. Unfortunately we don't have the same resources. But what we do have is an even level on that pitch and as soon as the lads cross the white line the money doesn't really matter. It's about how much you want it."