Greenwood, on-loan at Getafe, has a deal with United to 2025 and The Sun says the LaLiga outfit believe the option has been taken up to 2026.
The forward has been superb for Getafe this season, with Atletico Madrid and Barcelona expressing interest.
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Last weekend, Getafe coach Jose Bordalas said: "In the end his club decides and also the boy's intentions regarding his future count.
"But I can say we are happy with his behaviour and his performance."