  We study nonequilibrium noise correlations in diffusive
normal-superconducting structures in the presence of a supercurrent. We present
a parametrization for the quasiclassical Green's function in the first order of
the counting field $\chi$. This we employ to obtain the voltage and phase
dependence of cross and autocorrelations and to describe the role played by the
setup geometry. We find that the low-voltage behavior of the effective charge
$q_{\rm eff}$ describing shot noise is a result of a competition between
anticorrelation of Andreev pairs due to proximity effect and the depression of
the local density of states. Furthermore, we show that the noise correlations
are independent of the sign of the supercurrent.
