The Red Devils boss has struck a frustrated figure during pre-season ahead of their Premier League opener against Leicester City on Friday night.
Mourinho has been without some of his key players over the past month or so as important members of his squad got an extended break following the World Cup.
Manchester United missed out on some key signings to bolster areas of weakness in the summer transfer window, such as at centre-half and on the right wing.
The Red Devils have signed Shakhtar Donetsk’s Brazil international Fred, FC Porto teenager Diogo Dalot and experienced Stoke City goalkeeper Lee Grant this summer.
Manchester United finished 19 points behind Premier League champions Manchester City last season, while bitter rivals Liverpool FC have spent almost £200m on new signings this summer.
Former Manchester United midfielder Scholes explained what it would take for Mourinho to stand down as the Red Devils boss at the end of the Premier League season.
“He needs to get off to a good start this season, there’s no doubt about that,” Scholes told the Daily Express.
“I think a lot will depend on how his team plays, you know.
“If his team don’t do well, if they’re not playing well, if they’re not entertaining people, they’re not challenging for the league, then he possibly could go.
“But he’s got great experience, he’s been at top clubs, he’s been in difficult positions before, he’s in a difficult position now I think, but he needs to try to find a way to get out of it.”
Manchester United haven’t won the Premier League title since 2013.
The Red Devils have won the FA Cup, the Europa League and the League Cup since Sir Alex Ferguson’s retirement.
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