It has been a summer of optimism at Old Trafford following an excellent recruitment drive.
However, the uncertainty of Pogba's future remains a problem for the Premier League giants.
The Frenchman has started the season in terrific form, with United collecting seven points from their opening three games.
And Silvestre, who won four Premier League titles with United, believes his former club should keep Pogba, who he says brings something unique to Ole Gunnar Solskjaer's squad.
"I wouldn't say it's impossible to get him to sign a new contract, it's possible that he will sign at some point.
"I believe it would benefit not only the squad, but the club as well because it would be a great boost.
"It shows the club is going in the right direction by keeping hold of someone like Paul Pogba.
"He's an important player to this team, he has qualities different to any other player in the squad which can be the difference.
"Sometimes he can lack consistency, but he's a huge player for Manchester United and hopefully he will sign a new contract."
Pogba came through United's academy before moving to Juventus in 2012.
The 28-year-old won four Serie A titles with the Bianconeri before returning to Old Trafford in 2016.
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