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We calculate the Josephson coupling energy $U_J(\phi)$ (related to thesupercurrent $I=(2e/\hbar) dU_J/d\phi$) for a disordered normal metal betweentwo superconductors with a phase difference $\phi$. We demonstrate that thesymmetry of the scattering matrix of non-interacting quasiparticles in zeromagnetic field implies that $U_J(\phi)$ has a minimum at $\phi=0$. A maximum(that would lead to a $\pi$-junction or negative superfluid density) isexcluded for any realization of the disorder.Comment: 2 page

Negative superfluid density: Mesoscopic fluctuations and reverse of the supercurrent through a disordered Josephson junction