The BaBar Collaboration has recently reported products of branching fractions that include B meson semileptonic decays into final states with charged and neutral D1(2420) and D2∗(2460)
Nearby in the stack
, two narrow orbitally excited charmed mesons. We evaluate these branching fractions, together with those concerning
D0∗(2400)
and
D1′(2430)
mesons, within the framework of a constituent quark model. The calculation is performed in two steps, one of which involves a semileptonic decay and the other is mediated by a strong process. Our results are in agreement with the experimental data. We also extend the study to semileptonic decays of
Bs
into orbitally excited charmed-strange mesons, providing predictions to the possible measurements to be carried out at LHC.