The 21-year-old has not figured for the Premier League club since a 1-0 win over West Ham on January 22, 2022.
Greenwood was suspended by United amid allegations of attempted rape, engaging in controlling and coercive behaviour and assault.
Those charges were dropped by Greater Manchester Police in February, but United have continued to conduct their own internal investigation.
That process remains ongoing, but a decision on Greenwood’s future is said to be close.
According to the Manchester Evening News, United are “leaning towards” a loan agreement for the one-cap England international.
There is said to be reluctance on manager Erik ten Hag's part to agree a permanent move away from Old Trafford.
Greenwood has not returned to training at United’s Carrington base, but he has been spotted working with a private instructor.