We analyze the decay mode B-s --> mu (+)mu (-) in minimal supergravity (mSUGRA). We find that the recently measured excess in (g - 2)(mu), if interpreted within mSUGRA, is correlated with a substantial enhancement of the branching ratio B (B-s --> mu (+)mu (-)): if (g - 2)(mu) exceeds the standard model prediction by 4 x 10(-9), B(B-s --> mu (+)mu (-)) is larger by a factor of 10-100 and within reach of Run-II of the Tevatron. Thus the search for B-s --> mu (+)mu (-) is a stringent test of the GUT scale relations of mSUGRA. An observation of B-s --> mu (+)mu (-) at the Tevatron implies a mass of the lightest SUSY Higgs boson below 120 GeV. B-s --> mu (+)mu (-) can also significantly probe SO(10) SUSY GUT models. \u
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