And midfielder Scott McTominay certainly made a case for himself after opening the scoring at the Amex Stadium.
United led Brighton 1-0 at half time in their Carabao Cup fourth round tie.
McTominay popped up with a header shortly before the break from a Juan Mata free-kick.
Solskjaer made 10 changes to his team from the side that dramatically beat Brighton in the Premier League on Saturday.
And after United’s slow start to the season, the manager encouraged his squad to prove their worth.
Before kick-off tonight, Solskjaer said: “You need to take the situation in context. Some of our players haven't played more than one game since we got back.
“We are a few weeks behind some teams. We need these players through the season.
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“Some performances today will make my decision more difficult on Sunday.”
Additionally, United’s Eric Bailly had a chance tonight to show he should play against Jose Mourinho’s men on Sunday (4.30pm) before the international break.
Captain Harry Maguire missed the cup tie tonight with a minor injury, as Solskjaer confirmed: “Yeah, he's got a little knock but should be okay.
"We need to give minutes to players, we need to [give them] a chance to stake a claim for the league game on Sunday and this is a strong team as well.
"We know Brighton are going to be a difficult opponent, probably going to change up the top team by a couple, but I'm looking forward to this one."
A place in the quarter-finals awaits the winner of tonight’s tie on the south coast.
Goalkeeper Dean Henderson is another fighting for a place in United’s starting XI ahead of David de Gea.