  This work presents the search for the semileptonic baryonic B decay $B^-
\rightarrow \Lambda_c^+ \bar{p} \ell^- \bar{\nu}_{\ell}$. The used data
comprises the complete BABAR data set of $470 \cdot 10^{6}$ $B\bar{B}$ events,
collected at the SLAC National Accelerator Laboratory. Using a pole-model decay
simulation, we obtain upper limits with $90\%$ confidence level of
  $B(B^- \rightarrow \Lambda_c^+ \bar{p} e^- \bar{\nu}_{e})\cdot
\frac{B(\Lambda_c^+ \rightarrow p K^- \pi^+)}{5\%} < 1.2 \times 10^{-4}$,
  $B(B^- \rightarrow \Lambda_c^+ \bar{p} \mu^- \bar{\nu}_{\mu})\cdot
\frac{B(\Lambda_c^+ \rightarrow p K^- \pi^+)}{5\%} < 2.5 \times 10^{-4}$,
  $B(B^- \rightarrow \Lambda_c^+ \bar{p} \ell^- \bar{\nu}_{\ell})\cdot
\frac{B(\Lambda_c^+ \rightarrow p K^- \pi^+)}{5\%} < 1.0 \times 10^{-4}$.
  These results are in slight tension with predictions based on the measurement
of $B^- \rightarrow \bar{p} p \ell^- \bar{\nu}_{\ell}$ and $B^- \rightarrow
\Lambda_c^+ \bar{p} \pi^-$.
