Cry Baby pot value make a difference?

I have in my possession a stock Cry Baby Wah, but I don't use it much because the "rate of change" (for want of a better term) from one end of the pedal to the other is quite abrupt and there seems to be a "notch" in about the middle position ( a jump in the sound, if you get my drift.)
Would a different pot value, or just a better quality pot, make a difference; or is it more complicated than that?