Solskjaer is plotting a squad overhaul at Old Trafford after United’s failure to qualify for the Champions League last season.
The Norweigan has identified Fernandes, who scored 32 goals for Sporting CP in 2018/19, as one of his key targets.
And he has now called on Woodward, the man in charge of United’s transfer dealings, to wrap up the transfer before pre-season begins on July 1.
However, the executive vice-chairman reportedly has reservations about paying Sporting’s £62m asking price.
Tottenham have also been linked with the Portugal international, who helped his country win the UEFA Nations League earlier this month.
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