  We examine the T-odd transverse lepton and $\Lambda$ polarizations in the
baryonic decays of $\Lambda_b\to\Lambda l^+l^- (l=e ,\mu)$ to study the T
violating effects. We show that the lepton polarizations are suppressed but the
$\Lambda$ ones can be as large as 50% in CP violating theories beyond the
standard model such as the SUSY models, which can be tested in various future
hadron colliders.
