The Canaries made life very difficult for United at Old Trafford as the reigning title winners took almost 70 minutes to open the scoring before eventually winning 2-0.
Jones knows it was not the best performance by the Red Devils but indicated that grinding out a win of that nature shows the team is headed towards another Premier League title.
"It was a difficult game," Jones told the Manchester Evening News. "Norwich came here with a game plan and stuck to it.
"It made it difficult for us to break them down but we showed signs of champions in getting two goals late on.
"As champions, people expect you to turn up and be the very best every week but we know football isn't like that and that was proved against Norwich.
"That made it difficult and we had to be patient - that's what the gaffer said at half time - 'move the ball quicker, but be patient'.
"It's been difficult not having a settled back four all season but the lads are capable of switching around and again it shows the signs of champions, coming into positions and still proving you're good enough."