And if Pogba can finally produce consistent displays worthy of the then world record fee United paid for the Frenchman in 2016, there is reason for Solskjaer to believe he can end the club’s eight-year wait for a league title.
After a slow start by the visitors, the first half was dominated by controversy over a series of VAR reviews.
A five-minute delay to review Luke Shaw’s challenge on Johann Berg Gudmundsson and Robbie Brady’s foul on Edinson Cavani as the Uruguayan bore down on goal resulted in both sides escaping without having a man sent-off.
Referee Kevin Friend had initially waived play on from Shaw’s lunge, but on review the left-back was shown a yellow card and Brady’s yellow rescinded as the game should have been stopped earlier in the move.
The visitors upped the pressure in the second half as Cavani, back from a controversial three-game ban, missed two big chances he would expect to take.
Burnley had chances to equalise late on as Eric Bailly diverted Matej Vydra’s shot just wide before Maguire escaped claims for a penalty for handball.
But United held on for a big psychological boost ahead of the trip to Anfield.
Carlo Ancelotti was forced to start without a recognised striker without Dominic Calvert-Lewin and Richarlison only fit enough for a place on the bench.
The Toffees took an early lead when Alex Iwobi converted Lucas Digne’s cross but were pegged back when Ruben Neves levelled for Wolves.
Michael Keane’s towering header won the game 13 minutes from time to bolster the Blues’ European ambitions.
The Blades still face an uphill task to haul themselves off the bottom of the table as they sit nine points adrift of safety.
But Chris Wilder’s men ensured they will not set an unwanted record by going a full top-flight season without a win thanks to another night to forget for Newcastle.
“It looked like we got our identity back,” said Wilder.
“I felt we had an identity and it was us with the handbrake off, going for it and playing well in and out of possession.”
The Magpies could yet find themselves dragged into a relegation battle as they remain eight points above the drop zone in 15th, but have played two games more than Fulham in 18th.