"But then again there are so many games to go, so we've got a look forward, the next league game is Liverpool, of course".
It was Pogba who was named the man of the match, with his two goals - first an emphatic left-footed strike from a hard angle and the second his typical spot-kick - taking his overall Premier League goal tally of the season to 11.
Pogba was again influential for United, scoring the first and adding the third from the penalty spot in the second half to make the game safe.
Here are three talking points from this crucial result that saw the Red Devils fire into the top-four. I think we are very strong as a group and we are showing it.
Fulham, he said, had given his side a few scares in the opening 10 minutes - but then United took control.
The midfield trifecta of Nemanja Matic, Ander Herrera and Paul Pogba continued their excellent form this weekend by producing yet another dominant performance against the Cottagers. All have been exceptional under his management, but Pogba was the standout on a blustery winter's afternoon at one of English football's finest grounds.
"At the moment I'm just concentrating on getting us up the table", said Solskjaer. "Paul can do that with his qualities".
And as we head towards the final phase of the season, Fulham are sinking further into the relegation scrap, having acquired just seventeen points in 26 matches and are in desperate need of a miraculous turnaround if they are to maintain their top-flight status next season. He not only scores and assists, but he takes players on.
Claudio Ranieri is another positive manager, but things continue to go awry for embattled Fulham.
"We've just got to concentrate on ourselves, we can't really control anything that other teams can do".
Their mood contrasted totally with the 4,000 festive away fans who applauded Pogba's fast feet and tricky moves.
United themselves have been in great form and with the game being held at their home turf, United well and truly have an upper hand over their rivals on Tuesday night. He came to the dressing room.
"Whoever plays will try their best". But while they sang his name in the "Ole's at the wheel" song from a raucous Putney End, he doesn't have a song of his own.