The Red Devils face Sevilla in the last-four in Dusseldorf on Monday.
And Solskjaer expects his side to advance to the final.
"Let's see if we've developed throughout the season because we've had two semi-finals before," Solskjaer said. "We want to go to the next step.
"Semi-finals, that's a good effort, decent but it's not good enough. It's not good enough for Man United still.
"The team has been developing, getting more and more hungry.
"Let's make sure that hurt that we felt in both the other cups that we've gone out, that can be our maybe marginal difference. The difference that we want it more than them."