United have scored 48 goals in all competitions in an 18-game unbeaten run ahead of Thursday's trip to Crystal Palace.
Solskjaer said: "That's not my job to say but we've played some good football, enjoyable football.
"We're privileged to play for and represent this great club. There's a certain expectation of how we play football and we're getting closer to that type of team.
"We need to keep on doing what we've been doing and trust yourselves. We've done fantastic since we restarted and had a great run. You're at a club where it always boils down to the last couple of weeks of the season."