Lineker posted the following tweet during Manchester United's win at Brighton: "There's no question @ManUtd are heading in the right direction".
Greenwood scored a well-taken opener in the 16th minute with Bruno Fernandes scoring the other two as United impressed on the south coast.
Ole Gunnar Solskjaer's side are two points behind fourth-placed Chelsea, who play their game in hand at West Ham on Wednesday.
Manchester United have finally won a match in Brighton and a comprehensive win it was as well. He's glad they didn't concede a goal.
The Portugal midfielder's role in revitalising United can not be understated.
It is a game their boss Graham Potter is extra keen to take all three points from following the home defeat to United.
Pogba produced a competent performance in the middle of the park as the 27-year-old provided the assist for Bruno Fernandes' goal in the 29th minute after Mason Greenwood had broken the deadlock.
Fernandes' second goal was a particularly spectacular counter-attack and was something that the manager also commented on, "His second goal was good defending on a set-play and we know we've got pace and we wanted to counter quickly".
Albion may have had one eye on what should be easier pickings on Saturday when they play Norwich City. After that strike, Neville suggested the 19-year-old was on his way to cementing his spot in the side.
Meanwhile, Greenwood netted his 13th goal across all competitions this season and sixth in the Premier League.
Maguire nearly made it two with a header that looped narrowly wide and in the 29th minute Brighton cracked again. "Special special player, thanks for the dedicated goal".
Neither appeal was accepted and Fernandes was able to celebrate his latest crucial contribution.
Nemanja Matic's cross-field pass sent Greenwood sprinting away down the left and the teenager unfurled a ideal cross for Fernandes to volley past Ryan from 12 yards.
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