The Red Devils are steadily improving under Solskjaer.
Keane insists it’s time for the Norwegian to win a trophy.
Speaking on Sky Sports after the 2-0 defeat against Manchester City in the EFL Cup semi-final, Roy Keane said: “There’s still positives there but it goes to show Manchester United still have a bit to go yet.
“Getting to semi-finals is all well and good but you got to get over the line in these big games and that’s the next step to this team.
“I think they’ve had a lot of praise over the past few months because they’ve done well, they’ve been brilliant attacking football, they’ve got some momentum.
“But the next step in terms of getting to finals and getting their hands on a trophy is their biggest step and the hardest step.”
The Red Devils have emerged as surprising Premier League title contenders this season, finding themselves level on points with Liverpool at the top with a game in hand.
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