Boyd twice came close to scoring in the first half as the Reds secured a vital win to bolster their automatic promotion hopes.
But Davies believes there is more to come from Boyd, he said: "He did well on Saturday but I am sure that George Boyd, on Saturday night, will have sat back and realised how we want to play here.
"There is a big work ethic at this club. We put great demands on our players. There is a great discipline required to be a top-half team in this division.
"He will understand that there is a different way of playing here. We need to get him sharper and fitter and up to the speed of what we are trying to do. But that will come."