  The phenomenon of the almost linear growth of the square root of spatial
string tension $\sqrt{\sigma_s(T)}= c_{\sigma} g^2 T$ was found both in lattice
and in theory, based on the Field Correlator Method (FCM). In the latter the
string tension (both spatial and colorelectric) is expressed as an integral of
the two gluon Green's function calculated with the same string tension:
$\sigma= \int G^{(2g)}_{\sigma}$. This relation allows to check the
selfconsistency of the theory. However at nonzero temperature $T$ in the
two-gluon Green's function in the space-like region appear terms which create
in $\sigma_s$ quadratic in T behavior. We calculate below in the paper the
$\sigma_s$ numerically in the whole temperature region $T_c< T < 5 T_c$ using
the FCM method and compare the results with lattice data finding a good
agreement. This justifies the use of the FCM in the space-like region and in
high T thermodynamics without extra parameters.
