The Rams topped the attendance charts in the Championship last season with an average gate of 29,440.
City averaged 20,233 on their way to the League One title but chief executive Lee Hoos has called on the fans to boost that figure following the club's promotion back to the second tier.
"I would really love us to emulate Derby. They have a reputation as the best supported club and that rankles with me," Hoos told the Leicester Mercury.
"They have the same-sized stadium and had in excess of 29,000 in the ground every week and I would love to see our average capacity up there. It is close to 21,000 now and it is a goal to be better supported than Derby.
"We would love full houses every week - as we had against Scunthorpe at the end of last season. We want to replicate that great atmosphere in every game."