The Norwegian is at the point of his Old Trafford reign when he needs to start putting medals on the table.
He, of all people, knows what this club is all about. That silverware is what counts, for all the talk of cultural resets.
That has never changed at United. Success is in their DNA. It is precisely the culture Solskjaer is trying to build.
And while derby wins like last Sunday provide bragging rights when fans can eventually return to the workplace – Manchester City will almost certainly be the ones celebrating at the end of the season with at least one major trophy.
For United, realistically there are only two left to play for. But after this 1-1 draw with Milan, their hopes lifting the Europa League are now in serious jeopardy.
A wonderful goal from teenage winger Amad Diallo looked like giving them a lead to defend in the second leg. But Simon Kjaer’s 92nd-minute header gave the Italians the away goal they undoubtedly deserved and the score-line a more accurate reflection.
In truth, it probably still flattered United, who twice had to pick the ball out of the back of their net before seeing the efforts ruled out.
Franck Kessie was particularly unfortunate to see VAR disallow his wonderful strike that crashed into the roof of Dean Henderson’s net.
The verdict: handball. But it was far from conclusive.
Remember, this was a Milan team without Zlatan Ibrahimovic – and when other chances were squandered, United could only be thankful that their former striker was not on hand to capitalise.
Alexis Saelemaekers fired straight at Henderson in the first half – and Rade Krunic’s diving header flew wide of an open goal after the break.
United were, of course, without their own forwards in the form of the injured Marcus Rashford and Edinson Cavani.
Anthony Martial was also forced off at half time.
But that meant the introduction of Amad, whose flash of brilliance gave United the lead after 50 minutes.
The Ivorian had the speed to burst in between Fikayo Tomori and Diogo Dalot to meet the clipped pass of Bruno Fernandes. Then he had the awareness and technique to execute a backwards header that looped over the advancing run of Gianluigi Donnarumma.
It was all set up to be the story of the arrival of United’s latest starlet. But that would have been a disservice to a Milan team that attacked with intent and created enough chances to leave with more than just a draw – even if Harry Maguire and Dan James were guilty of wasting glorious opportunities of their own.
That should be the concern for Solskjaer.
Sitting second in the league, United would expect to qualify for the Champions League.
So the next step is to add gloss to the season with silverware.
The Europa League would provide tangible evidence of Solskjaer’s ability to take United to the next stage, rather than merely secure a top-four finish.
There is the added bonus of being able to avoid City in this competition, given the fact Pep Guardiola has twice eliminated United from Carabao Cup in the past two seasons.
But Milan have proved their threat and have an away goal to defend.
United will have to be much better next time around or Solskjaer will see another chance of glory snatched away from him.