For a number of months, United have been strongly linked with an approach for the Englishman, who could cost in excess of £60m.
However, Bent, a former player of both Spurs and Villa, feels that the 24-year-old is more likely to move to North London than Old Trafford.
Speaking to Football Insider, Bent said: "It's definitely in the price tag that Villa are going to want for him but you look at Spurs – a young, English, brilliant signing.
"When you look at teams that are also in for Jack, there's a lot of talk about Manchester United and I think where Spurs might have the edge is they're going to have the funds to do it.
"They're not really linked with anybody else and I think they can get that done, relatively, quite comfortably."
Grealish has contributed seven goals and six assists from 26 games in the Premier League this season.