United will pay the creative midfielder a contract worth £150,000-a-week.
And he could be the natural replacement for Paul Pogba if the World Cup winner leaves United in the summer.
Fernandes has netted 15 goals and provided 14 assists in all competitions.
Yesterday in his pre-match press conference Solskjaer was coy on doing any transfer business this week.
He said: “I haven’t got any updates for you on transfers. Yeah, I think it was a waste [of a question].