The Gunners travel to the Amex Stadium as they continue their defence of the FA Cup, which began with a 2-0 win against Hull City on home turf in the Third Round.
But despite coming up against Championship opposition in this round, the Arsenal boss is adamant that his side will be in for a difficult afternoon's work and will have to show all their fighting qualities if they are to reach the next stage of the competition.
Brighton & Hove Albion v Arsenal
The FA Cup
Fourth Round Proper
4pm, Sunday 25 January 2015
Amex Stadium, Brighton
Live on BT Sport
Winners receive £90,000 from prize fund
By Simon Collings
"We have to keep their strikers quiet," said Wenger.
"In The Cup, you have to be ready from the start and people like that can always surprise you if you're not ready.
"It's always difficult in the Championship away from home. I remember it was a very difficult game two years ago against a team who were on the way up with Gus Poyet.
"We needed to dig deep to get out with a positive result."
While Poyet may have been in charge when Arsenal overcame Brighton 3-2 in the Fourth Round back in 2013, this time it will be Chris Hughton who will be in the dugout for the Seagulls.
The former Newcastle and Norwich manager will be desperate to cause an upset over Arsenal, having spent 13 years as a player with Tottenham Hotspur before eventually joining the Gunners' fierce north London rivals as a coach.
And since taking charge at Brighton, Hughton has picked up three wins from his first four matches and Wenger is aware of the 56-year-old's managerial prowess.
"Chris Hughton will give them his experience and his competence, of course," said Wenger.
Watch highlights of the Third Round tie at the Emirates Stadium
"He knows how to prepare a team for a challenge like this. For us, the challenge is to turn up with the same spirit and show that we can be consistent with our attitude game by game.
"In The FA Cup, God knows that is needed. We know that it will be another big challenge for us to go there and come home with a positive result."
Hughton himself is relishing the opportunity to pit his wits against Wenger and The FA Cup holders, confessing Sunday's tie will be a special occasion for those involved.
"The first thought [when we drew Arsenal] was one of excitement," said Hughton.
"I am not thinking about how difficult it is going to be to beat them, but about the day itself.
"The FA Cup day is a special day and mostly a special one for the supporters.
"I was reminded that a couple of seasons ago we had a very close cup tie against Arsenal at the Amex. If the game can be anything as exciting as that one, then it could be a very good day."