  Correlators of the octet baryons in the hot pion gas are studied in the
framework of the QCD sum rule. The condensates appearing in the OPE side of the
correlators become T-dependent through the interaction with thermal pions. We
present an explicit demonstration that the $O(T^2)$-dependence of the
condensates is completely compensated by the change of the pole residue and the
$\pi + B \rightarrow B'$ scattering effect in the spectral functions. Therefore
the baryon masses are constant to this order, although
$\langle\bar{u}u\rangle_T\simeq\langle\bar{u}u\rangle_0(1-T^2/8f_\pi^2)$, which
is consistent with the chiral symmetry constraint by Leutwyler and Smilga.
