We present a leading order (LO) estimate for the longitidinal-transverse sp
in asymmetry (A(LT)) in the nucleon-nucleon polarized Drell-Yan process at
RHIC and HERA-(N) over right arrow energies in comparison with A(LL) and A(
TT). A(LT) receives contribution from g(1), the transversity distribution h
i, and the twist-3 distributions g(T) and h(L). For the twist-3 contributio
n we use the lag model prediction evolved to a high energy scale by the lar
ge-iii, evolution equation. We found that A(LT) (normalized by the asymmetr
y in the parton level) is much smaller than the corresponding A(TT) Twist-3
contribution given by the bag model turned out to be negligible.