Another summer priority for United is Jack Grealish, who is expected to replace Paul Pogba.
There is potentially talk of Pogba, but ideally the Red Devils would offload the 27-year-old for a large sum.
They then signed Grealish, who impressed with his performances at Aston Villa in the top flight this season.
It was recently alleged that he raised his eyebrows at Old Trafford, violating government advice on isolation amid the coronavirus crisis.
But Solskjaer remains a huge fan of the Villa's star and would like to bring him to the Theater of Dreams this summer.