The two sides go head to head at the Emirates for the first time since Arsene Wenger's side were humiliated by the Red Devils.
"It won't be as open as the last time. There is no chance of that," said Ferguson. "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."
The race for the Premier League title may look different after the weekend, as second-placed Tottenham Hotspur and third-placed Manchester City face each other at the Etihad Stadium hours before the showdown in North London.