Already they have dropped eight points behind leaders Arsenal and it looks unlikely they will mount a successful defence of the championship Ferguson won for the 13th time in May before his emotional farewell.
However, United have begun their Champions League campaign well and also defeated Liverpool to advance in the Capital One Cup.
"For David, winning a trophy would be a fantastic achievement," said Ferguson on MUTV.
"No matter what it is - the League Cup, FA Cup, European Cup or Premier League.
"We've always had priorities obviously and David is aware of that but I hope he achieves it."
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