It is expected that United would reject the bid, although the Scotland international’s future remains uncertain after West Ham attempted to sign him last summer.
During the club’s pre-season tour of the United States, United manager Erik ten Hag stated that he is “pleased” to have McTominay in his squad, but did not confirm that the 27-year-old Scotland international would remain at the club.
The Old Trafford club is attempting to raise finances to recruit new players, and the injuries to defender Leny Yoro, who is expected to miss three months, and attacker Rasmus Hojlund exacerbate the situation.
McTominay is entering the prime years of his career.
Last season, he made 32 Premier League appearances for United, 14 of which came from the bench, though he did start the FA Cup final victory over Manchester City at Wembley.
McTominay started in the number 10 position in Wednesday’s 3-2 preseason triumph over Real Betis in San Diego.