New Everton boss Rafael Benitez has drawn up a list of players he wants to sign this summer, with the Red Devils midfielder right at the top.
West Ham United have also been trying to secure a move for the Manchester United star, but have not managed to agree a deal. The Red Devils are reportedly in no hurry to sell their player and are open to the idea of keeping Lingard at the club.
Manchester United manager Ole Gunnar Solskjaer has stated he has plans for Lingard if the Englishman decides to stay at Old Trafford.
Lingard struggled for game time at Manchester United last season and was subsequently loaned out to West Ham, where he impressed.
The 28-year-old scored nine goals and provided five assists in 16 games for the Hammers, helping them finish sixth in the Premier League.
Jesse Lingard urged to leave Manchester United
Former West Ham striker Carlton Cole has urged Jesse Lingard to leave Manchester United this summer. Cole believes the Englishman should move to West Ham to gain more playing time.
He told talkSPORT:
"He's done brilliant last season [at West ham] and he has had some good seasons at Man United. I think he has outgrown that position, the way they look at him now, he is a bigger player than that. I think he can go somewhere and be the main man. But it's up to him and what his ambitions in life are. Talking about another scenario like Declan Rice, what are his ambitions, does he want to go to a Man United?"
"But then you have the other way round as well, someone that has been a bit part player that wants to be the main man elsewhere. So it depends what perspective you look at football and what you want as a player. For me, I think he should just go and fill his boots at West Ham."