  We investigate the effect of a possible large frozen-in magnetic field in the
core of the sun and a neutrino magnetic moment of the order of $10^{-10}$ Bohr
magneton on the MSW parameters. Such a possibility can completely depolarize
the $\nu_{eL}$ resulting in a factor of half of the emitted number. This in
combination with MSW can explain the present experimental data on solar
neutrinos but with a different region of the parameter space than the regular
MSW alone. In this scenario there is a larger region of parameter space
allowed. There is a large strip of parameter space corresponding to adiabatic
solution and no solution for large mixing angle region. The non-adiabatic
region still remains as a solution but shifted and larger relative to the
regular MSW.
