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The spatial string tension across a crossover from the low-temperature phase to the high-temperature phase is computed in QCD with two flavors of nonperturbatively improved Wilson fermions at small lattice spacing a ∼ 0.12 fm. We find that in the low-temperature phase spatial string tension agrees well with zero-temperature string tension. Furthermore, it does not show increasing for temperatures up to T = 1.36 Tpc, the highest temperature considered. Our results agree with some theoretical predictions. [ABSTRACT FROM AUTHOR]