We investigate the possible influence of the MSW effect on the expecta
tions for the solar neutrino experiments in the maximal mixing scenari
o suggested by the atmospheric neutrino data. A direct numerical calcu
lation of matter induced effects in the Sun shows that the naive vacuu
m predictions are left completely undisturbed in the particular case o
f maximal mixing, so that the MSW effect turns out to be unobservable.
We give a qualitative explanation of this result.