My preference would be to move from G to a simple G# diminished using fingering like:

    pa -- rt
  3x003x  4x34xx
  

If you are playing with a plectrum then change the G to 32004x and play the G#dim using left hand fingers 2,1,3 (low to high) and bend 2 over slightly to damp the 5th string as you strum strings 6 to 3.

Mick