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We compare the recent results on the higher twist (HT) contribution to thenonsinglet combination $g_1^p - g_1^n$ of the polarized proton and neutronstructure functions with that one to the unpolarized structure function $F_3$using the assumption that the HT contributions to the Gross-Llewellyn Smith andthe Bjorken sum rules are similar. We have found, that the relation${1/3}h^{F_3}(x) \approx \frac{6}{g_A}h^{g_1^p - g_1^n}(x)$ is valid for $x\geq 0.2$ in the case of NLO QCD approximation for the leading term parts ofthe structure functions.

Relation between the x-dependence of Higher Twist Contribution to $F_3$ and $g_1^p - g_1^n$ in the Light of the Recent Experimental Data