While Liverpool's rivalry with United has prompted Gerrard to hope for a slip-up, the England captain believes that the Red Devils will still be challenging for the league title.
"They have replaced a world-class manager with another who has done a fantastic job at Everton, so I think David will continue to do a good job there," Gerrard told Sky Sports News.
"It is new for Manchester United. From a biased point of view, let's hope they have a wobble, but I think they have too many good players to fall out of the title race. They have world-class players and I expect them to fight for the league again."
Liverpool will begin their Premier League campaign with a home clash against Stoke City.