  We evaluate the partial decay widths for the semileptonic $\Lambda_b \to \bar
\nu_l l \Lambda_c(2595)$ and $\Lambda_b \to \bar \nu_l l \Lambda_c(2625)$
decays from the perspective that these two $\Lambda^*_c$ resonances are
dynamically generated from the $DN$ and $D^*N$ interaction with coupled
channels. We find that the ratio of the rates obtained for these two reactions
is compatible with present experimental data and is very sensitive to the $D^*
N$ coupling, which becomes essential to obtain agreement with experiment.
Together with the results obtained for the $\Lambda_b \to \pi^- \Lambda^*_c$
reactions, it gives strong support to the molecular picture of the two
$\Lambda^*_c$ resonances and the important role of the $D^*N$ component
neglected in prior studies of the $\Lambda_c(2595)$ from the molecular
perspective.
