  We examine the role of thermal fluctuations in binary condensate mixtures of
dilute atomic gases. In particular, we use Hartree-Fock-Bogoliubov with Popov
approximation to probe the impact of non-condensate atoms to the phenomenon of
phase-separation in two-component Bose-Einstein condensates. We demonstrate
that, in comparison to $T=0$, there is a suppression in the phase-separation of
the binary condensates at $T\neq0$. This arises from the interaction of the
condensate atoms with the thermal cloud. We also show that, when $T\neq0$ it is
possible to distinguish the phase-separated case from miscible from the trends
in the correlation function. However, this is not the case at $T=0$.
