  For energies relevant to future linear colliders, \sqrt{s} >~ 500 GeV, the WW
fusion channel dominates the Higgs boson production cross section e+e- ->
\bar\nu \nu h^0. We have calculated the one-loop corrections to this process
due to fermion and sfermion loops in the context of the MSSM. As a special
case, the contribution of the fermion loops in the SM has also been studied. In
general, the correction is negative and sizeable of the order of 10%, the bulk
of it being due to fermion loops.
