  The saturation of the two Weinberg sum rules is studied at finite
temperature, using recent independent QCD sum rule results for the thermal
behaviour of hadronic parameters in the vector and axial-vector channels. Both
sum rules are very well satisfied from $T=0$ up to $T/T_c \simeq 0.7-0.8$. At
higher temperatures close to $T_c$ a hadronic, pion-loop contribution in the
space-like region proportional to $T^2$, present at leading order in the vector
but not in the axial-vector channel, induces an asymmetry leading to a small
deviation. In this region, though, QCD sum rules for the hadronic parameters
begin to have no solutions, as the hadronic widths of the $\rho$ and the $a_1$
mesons diverge signalling deconfinement. Close to, and at $T=T_c$ there are no
pions left in the medium and chiral symmetry is restored, so that the sum rules
are trivially satisfied.
