A reaction occurs spontaneously if 

For spontaneous reaction  $∆G$ should be negative

$\mathrm{\Delta }G=\mathrm{\Delta }H-T\mathrm{\Delta }S=(+ve)-T(+ve)$

If $T\mathrm{\Delta }S>\mathrm{\Delta }H$ then $∆G$ will be negative and reaction will  be spontaneous at high temperature.