The Tigers are currently 10th in the Premier League table and go into the game on the back of an impressive 3-1 victory over high-flying Liverpool on Sunday.
Bruce has been pleased with his side's performances on the road this season, having won at Newcastle and only lost narrowly at Tottenham and Everton, and hopes for more of the same against the Gunners.
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"We maybe haven't got the right result in those games but I think we have to approach [this] game in the same way. Let's go and have a go, enjoy it and see what we can do."
The Gunners have lost just twice in the Premier League so far this season, to Aston Villa and Manchester United, and Bruce knows that his men will have to be at their best to get a result in north London.
"You know, when you go to Arsenal, that the one thing you're going to have to do is defend well and play well because they are as good as anybody in this league at the moment," he added.
"It's so difficult to set up against them because the players seem to play anywhere and everywhere. They play with that fluidity and freedom.
"There's a goal threat from five or six players. We can't afford to have an off-day; we're going to have to be at our best."