Butterfield joined the Rams from Huddersfield Town during the summer transfer window, in a transfer valued at £4 million by the Derby Telegraph, and has gone straight into the side's starting line-up.
The 24-year-old has already played four times for Derby, and the team have not lost when he has been in their line-up, but Clement feels that there is still more to come.
"Jacob has been good in spells but probably has lacked a little bit of consistency," Clement admitted. "The way he is and the way he plays, I think it is going to take him a little bit longer.
"He is a ball-player and when we are not playing that well with the ball he is going to suffer as a result of that. I think when we can get our passing going again and get back to the levels and fluency we showed against Birmingham, Charlton and Middlesbrough, that is going to benefit him."
Butterfield arrived to Derby at the same time as Bradley Johnson, and the pair have become integral to the team's efforts.
The Rams started the season slowly, but they have gone unbeaten in their last four matches and are starting to climb up the Championship table.
Clement's side's performances are still not at their peak, though, with many of their wins being picked up through battling qualities rather than attacking flair.
That will be something that Clement looks to change in the near future, with Derby's next game coming against struggling Brentford at the weekend.