We analyze in detail various possible sources of systematic errors on the d
istances of globular clusters derived by fitting a local template DA white
dwarf sequence to the cluster counterpart (the so-called WD-fitting techniq
ue). We find that the unknown thickness of the hydrogen layer of white dwar
fs in clusters plays a non negligible role. For reasonable assumptions - su
pported by the few sparse available observational constraints - about the u
nknown mass and thickness of the hydrogen layer for the cluster white dwarf
s, a realistic estimate of the systematic error on the distance is within /-0.10 mag. However, particular combinations of white dwarf masses and enve
lope thicknesses - which at present cannot be excluded a priori - could pro
duce larger errors. Contamination of the cluster DA sequence by non-DA whit
e dwarfs introduces a very small systematic error of about -0.03 mag in the
M-v/(V-I) plane, but in the M-v/(B-V) plane the systematic error amounts t
o similar to +0.20 mag. Contamination by white dwarfs with helium cores sho
uld not influence appreciably the WD-fitting distances. Finally, we obtain
a derivative Delta (m-M)(v)/DeltaE(B-V) similar to -5.5 for the WD-fitting
distances, which is very similar to the dependence found when using the Mai
n Sequence fitting technique.