The suspended striker, 21, is said to be thrilled after adidas backed his return following “positive” talks with the club.
Adidas are United’s biggest sponsors after signing a ten-year, £750million deal in 2015. It is believed other sponsors are set to follow suit.
A final decision on Greenwood’s future is set to be made before the Prem-season starts, with the Red Devils opening against Wolveson August 14.
But Adidas’ intervention may seal a sensational comeback to Old Trafford after weeks of speculation that he could go out on loan.
The striker has been suspended since January 2022 amid his arrest for attempted rape, assault and controlling and coercive behavior.
But since all the charges were dropped, he is desperate to rebuild his life and wants to resume his Red Devils career.
A source said: “He’s being encouraged to speak publicly and to have his voice heard.
“But, privately, he has told those close to him that he has learned a huge amount.
“He became a father for the first time earlier this month and realizes he has to grow up.
He is grateful to Adidas — to have a sponsor like that in his corner means the world.”
Greenwood remains suspended but a new training regime has been drawn up by United staff and he is being monitored.
The forward has not kicked a ball for the club since his arrest when a woman made a series of allegations on social media.
He was suspended and fans with shirts bearing his name were told they could exchange them for free.