  We present precise theoretical predictions for the absolute branching
fractions of $\Lambda_c^+ \to \Lambda \ell^+ \nu_\ell\,(\ell=e,\mu)$ decays in
the covariant confined quark model. This study is motivated by two recent and
accurate measurements of the absolute branching fractions of $\Lambda_c^+ \to p
K^- \pi^+$ and $\Lambda_c^+ \to \Lambda e^+ \nu_e$ by the Belle Collaboration
at the KEKB and by the BESIII Collaboration at the BEPCII. Our predictions for
the branching fractions are consistent with both experimental results. We also
provide detailed numerical results for differential decay distributions and
polarization observables.
