The England midfielder believes that his side must make up for a shock exit in the Champions League and defeats in the League Cup and FA Cup by winning the remaining two competitions that they are involved in.
"Winning the title race and winning this competition [the Europa League] is what we would consider a successful season," he told the Manchester Evening News.
"That's what we're involved in and that's what we want to do."
The winger says he has enjoyed the pressure of playing for Sir Alex Ferguson's side and he knows that the team is expected to win every match they play.
"It's the biggest team in the world and you always want to beat the big teams. It's like a cup final for other teams, especially at Old Trafford. So we know there's always pressure. It's how you deal with it," he continued.
"Every game is going to be a tough game from here. As long as we go out there, concentrate on ourselves and produce the sort of performances that have been coming in the last few weeks it will be good enough to win the title."
Young recently spent a short spell sidelined with injury, but made a goalscoring return in United's 2-0 victory against Ajax at the Amsterdam Arena.
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