  We propose a new mechanism to suppress the axion isocurvature perturbation,
while producing the right amount of axion dark matter, within the framework of
supersymmetric axion models with the axion scale induced by supersymmetry
breaking. The mechanism involves an intermediate phase transition to generate
the Higgs \mu-parameter, before which the weak scale is comparable to the axion
scale and the resulting stronger QCD yields an axion mass heavier than the
Hubble scale over a certain period. Combined with that the Hubble-induced axion
scale during the primordial inflation is well above the intermediate axion
scale at present, the stronger QCD in the early Universe suppresses the axion
fluctuation to be small enough even when the inflationary Hubble scale
saturates the current upper bound, while generating an axion misalignment angle
of order unity.
