United lost 2-1 in Rome last season before thrashing the Serie A team 7-1 in the return leg to progress to the semi-finals of Europe's top club competition.
Sir Alex Ferguson's side beat Roma 1-0 when they met in this season's group stages in October, and drew 1-1 in the reverse fixture in December.
"If you weren't concerned there would be something wrong," added Ramsden. "The experience this season has been a lot better than it had the previous season.
"The organisation at the stadium is a lot better than it was when we first went there. Our fans have a better understanding of what is expected of them."
