The current Premier League champions demolished Arsene Wenger’s side back in August to condemn the Gunners to their worst defeat in 114 years.
However, Ferguson insists Sunday’s match will be a more tightly contested affair and highlighted the Arsenal's record at the Emirates Stadium as justification for his prediction.
The 70-year-old coach said: “It won't be as open as the last time. There is no chance of that.
“There won't be a lot between the two teams. They have only lost six goals at home this season so we are well aware it is going to be a hard game.
“I just hope we can get the result we want and need.”
Ferguson is sure that Wenger will not use revenge as a motive and maintains teams should simply forget convincing defeats, rather than play on them.
“I have never used revenge as part of my motivation,” he said.
“It rankles but you have to forget it. I am sure Arsene did that. That is what I would have done anyway.”
Despite his age, Ferguson believes bringing back Thierry Henry, 34, on a short-term loan from New York Red Bulls was an inspired move by Wenger and feels the club will be motivated by the striker's return.
“There was talk about Thierry Henry coming back last January and it didn't happen,” he said.
“To me there are no negatives, similar to what I said about Paul Scholes.
“When I saw them erecting the statue I thought it was a nice lead-in to bringing him back for a short spell.
“You saw how the fans reacted when he scored the goal against Leeds. They were fantastic.
“He is still a great player and most of the current ones weren't there when he was.
“They are going to be motivated and admiring a player who was one of Arsenal's greats.”
Arsenal have since recovered from the poor form they showed at the start of the season and currently sit fifth in the Premier League.
Ferguson added: “Normally there are quite a few of these big matches at the end of the season.
“But we have had situations in the past where you have a clutch of games against teams who are challenging in the league with you.
“We know it could decide a lot of the season, but you just have to cope with it because it is the same for everyone else.”
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