The Toffees star has scored 11 goals in just 14 Premier League appearances.
Calvert-Lewin could join the likes of Marcus Rashford, Mason Greenwood, Anthony Martial and Edinson Cavani as an option for Solskjaer.
The England star could cost as much as £75m though.
Odion Ighalo will return to the Chinese Super League after his loan spell at the club.
Possible Man Utd line-up
De Gea; Wan-Bissaka, Maguire, White, Telles, McTominay, Rice, Sancho, Fernandes, Rashford, Calvert-Lewin