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Sarries triumphed 27-16 last season when the game was played at Twickenham but Ulster have a formidable record at what is sure to be a raucous Ravenhill.
However, the Saracens squad are no stranger to the big occasion with Brown captaining Scotland during the 2014 RBS 6 Nations and the likes of Mako and Billy Vunipola and Owen Farrell all representing England.
And Brown believes their big-game experience at international and European level will have prepared Saracens perfectly for the challenge that awaits them in Ulster.
"That experience definitely helps," Brown said. "If you look at the squad now, we've got experienced players and even some of the younger guys like Mako and Billy Vunipola, they have played a lot of big games now.
"Playing at Ulster is the sort of thing you have to handle together and as a squad I think it's the sort of thing we enjoy. We've played a lot of teams away - last season we played at something like nine different home venues - it will be tough but we're really looking forward to it."