Need help [Fade in with distortion]

Hey all,

When I’m playing, I use a lot of volume knob adjustments, including fade ins (from zero).
The problem is, the sound is clean in the beginning of fade and after a couple of millimeters in the distortion kicks in.

How do I have a clean distortion fade in when I volume up from zero on my guitar?

Thanks for the help in advance!

PS - This is not for recording, just to play along with a backing track.