The Red Devils will face Villarreal to compete for the title in Gdansk on Wednesday.
United have not won a major trophy since their Europa League success in 2017.
But Solskjaer hopes they will soon be fighting for silverware more consistently.
Solskjaer on United reaching final
“This is a team that we’ve rebuilt in the last few years,” Solskjaer told reporters at a press conference.
“Hopefully this is the start of something more.”
“This is the best club in the world. That’s the pleasure and the pressure of Manchester United.”
“That’s something the players are ready for. They wouldn’t have signed here if they weren’t top players.”
“These are big nights for us. It might be the stepping stone for a big future.”
“This group of players has been working for a year and a half together.”
“The next step for them is to enjoy a game like this.”
“I’ve seen something growing inside of the players,” he added.
Meanwhile, Mason Greenwood also hopes to restore United’s reputation of challenging for major honours.
He sees their midweek clash as a possible stepping stone to achieving that.