The 24-year-old has been in impressive form for Dean Smith's side during the 2019-20 campaign, scoring nine times and contributing seven assists in 27 appearances in all competitions.
A whole host of clubs - including Real Madrid, Barcelona and Manchester City - are believed to be interested in signing the Englishman at the end of the season.
However, according to The Sun, Grealish, who has seven Premier League goals to his name this term, prefers a move to Old Trafford over any other club.
The attacking midfielder is thought to be valued in the region of £60m by Villa, who are currently 17th in the Premier League table, just one point outside of the relegation zone.
Ole Gunnar Solskjaer's side signed Portugal international Bruno Fernandes in January to improve their options in attack, but Grealish is also allegedly a target for the 20-time English champions. body check tags ::