The 33-year-old is not expecting their rivals to struggle during the transitional period due to a "world-class" squad, but is keeping his fingers crossed for an early stumble
The Scot officially takes over from the retired Sir Alex Ferguson on Monday, tasked with continuing the club's winning tradition and retaining the Premier League trophy.
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"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."