The French international, who joined United in a record deal from Juventus last season, has endured a mixed season in England following his move last summer.
However, Lingard is confident that Pogba will prove his worth for United in the coming years.
Lingard said: "It's obviously his first year in the Premier League and it was going to take some getting used to. It's the luck he's had this season.
"We know he's a world class player, he's helped the team a lot and I don't see why he won't go on next season and score the goals he's missed this season.
"You see the power he has and the stature he possesses in midfield.
"No one can get near him and when he plays those through balls we're always running for them. We need to finish more of them."