The goal would prove decisive as the Rams withstood a late barrage from their opponents to record their second victory in the space of four days.
The two successes have seen Derby end their previous eight-game winless streak in emphatic fashion and they now sit in fifth position in the Championship standings, just six points adrift of leaders Hull City.
Butterfield said: "I always like to shoot when I get half a chance and I’m quite confident from the edge of the box so it was another nice goal for me, and obviously the winning goal, which is even better.
“It’s my eighth goal of the season so double figures are what I’ve got my eyes on – it would be a great return for me and also for the team.”
It took Butterfield eight matches to break his duck for Derby after making the switch from Huddersfield Town in August, but since then, he has found the back of the net on a regular basis.
He registered both goals in the 2-0 victory away at Hull City in November, before scoring in Derby's only wins either side of the New Year, which came at home to Fulham in the league and away to Hartlepool United in the FA Cup.
Butterfield will be hoping to move closer to his 10-goal target when Derby travel to Wolverhampton Wanderers on Saturday lunchtime.