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We study the implications for $\Lambda_b \to \Lambda_c^*\ell\bar{\nu}_\ell$and $\Lambda_b \to \Lambda_c^*\pi^-$ $[\Lambda_c^*=\Lambda_c(2595)$ and$\Lambda_c(2625)]$ decays that can be deduced from heavy quark spin symmetry(HQSS). Identifying the odd parity $\Lambda_c(2595)$ and $\Lambda_c(2625)$resonances as HQSS partners, with total angular momentum--parity $j_q^P=1^-$for the light degrees of freedom, we find that the ratios$\Gamma(\Lambda_b\rightarrow\Lambda_c(2595)\pi^-)/\Gamma(\Lambda_b\rightarrow\Lambda_c(2625)\pi^-)$and $\Gamma(\Lambda_b\rightarrow \Lambda_c(2595) \ell \bar{\nu}_\ell)/\Gamma(\Lambda_b\rightarrow\Lambda_c(2625) \ell \bar{\nu}_\ell)$ agree, withinerrors, with the experimental values given in the Review of Particle Physics.We discuss how future, and more precise, measurements of the above branchingfractions could be used to shed light into the inner HQSS structure of thenarrow $\Lambda_c(2595)$ odd-parity resonance. Namely, we show that suchstudies would constrain the existence of a sizable $j^P_q=0^-$ component in itswave-function, and/or of a two-pole pattern, in analogy to the case of thesimilar $\Lambda(1405)$ resonance in the strange sector, as suggested by mostof the approaches that describe the $\Lambda_c(2595)$ as a hadron molecule. Wealso investigate the lepton flavor universality ratios $R[\Lambda_c^*] = {\calB}(\Lambda_b \to \Lambda_c^* \tau\,\bar\nu_\tau)/{\cal B}(\Lambda_b \to\Lambda_c^* \mu\,\bar\nu_\mu)$, and discuss how $R[\Lambda_c(2595)]$ may beaffected by a new source of potentially large systematic errors if there aretwo $\Lambda_c(2595)$ poles.

$\Lambda_b$ decays into $\Lambda_c^*\ell\bar{\nu}_\ell$ and  $\Lambda_c^*\pi^-$ $[\Lambda_c^*=\Lambda_c(2595)$ \& $\Lambda_c(2625)]$ and  heavy quark spin symmetry