The 34-year-old is only a month away from leaving on a free transfer after confirming his exit through a social media post in January.
United's midfield general has been a crucial cog in Michael Carrick's system, and INEOS are therefore desperate to sign the perfect heir to his throne.
Elliot Anderson has long been suggested as a possible option from Nottingham Forest, but with Evangelos Marinakis demanding north of £100 million, completing a deal could be tricky.
Nonetheless, Ben Jacobs has reported via GiveMeSport that Man United are readying an approach for the England international before the World Cup starts in June.
Manchester City are also pushing hard to sign Anderson with Bernardo Silva set to depart next month, and here is what Vitor Pereira has said about the 23-year-old.
Speaking about whether he expects him to leave the City Ground this summer, Pereira said:
“I don’t have the answer. I know he deserves the top of the world. But he is our player and we need to enjoy him.
“I have worked with talented players, but to find a top player with this character is not easy. I am not thinking about next season, I am thinking about this season and finishing in the best position we can.”