Solskjaer is still waiting to get his hands on his first piece of silverware since taking charge of United back in 2018.
He can take a huge step towards breaking his duck tonight when United host neighbours and bitter rivals Manchester City in the Carabao Cup semi finals at Old Trafford.
United lost three semis last season to see their promising campaign end in heartbreak.
But Solskjaer believes once this current United side gets over the line to win something then more trophies will follow - because lifting silverware is like a drug.
The Norwegian should know, having landed 12 major honours during a glorious playing career at Old Trafford.
Solskjaer, who will be without the suspended Edinson Cavani for the showdown with Pep Guardiola's Carabao Cup holders, said: "We want to go one step further.
"I speak from my own experience. When I won the first league title at Manchester United, it became a drug, celebrating with your team- mates on the pitch with a trophy.
"We won it when Wimbledon took points off Liverpool in 1997, but we still had a celebration and it became a thing, you become addicted to winning.
"It can be huge for the team. I think we won the league the year after and I had to retire after that, but that team grew so much from those years - and we have now added some players in our group that hopefully can give us that extra edge in the semis compared to last season."
Solskjaer believes United have matured in the past 12 months and are better equipped to avenge defeat to City in the last four of the same competition last season.
But he knows Guardiola's men are hitting top form and that United will have to be on red alert to stop their rival's rapid counter attacking.
He added: "It's not about learning. Sometimes it's about fine margins and sometimes it's about quality - and we are a better team now than we were six months back or 12 months back.
"Hopefully we have got the quality when it matters, when we have got a chance or a one versus one and defenders make a block, or we defend well.
"In semis, you earn the right to win a trophy by going through. You play against more and more difficult opponents every game and naturally a semi is harder than a quarter-final, but hopfully we can make it one step further this time.
"They hit us on the break at Old Trafford last season when they scored in the semi final. That is a strength that they have and to counter attack you have to defend better.
"You have respect for Manchester City and they have respect for our players with (Marcus) Rashford, Bruno (Fernandes), Paul (Pogba) (Mason) Greenwood and (Anthony) Martial.
"All managers have respect for the opposition, but we all try to find a way to beat our opponent."