  We revisit the possibilities of accommodating the experimental indications of
the lepton flavor universality violation in $b$-hadron decays in the minimal
scenarios in which the Standard Model is extended by the presence of a single
$\mathcal{O}(1\,\mathrm{TeV})$ leptoquark state. To do so we combine the most
recent low energy flavor physics constraints, including
$R_{K^{(\ast)}}^\mathrm{exp}$ and $R_{D^{(\ast)}}^\mathrm{exp}$, and combine
them with the bounds on the leptoquark masses and their couplings to quarks and
leptons as inferred from the direct searches at the LHC and the studies of the
large $p_T$ tails of the $pp\to \ell\ell$ differential cross section. We find
that none of the scalar leptoquarks of $m_\mathrm{LQ} \simeq 1\div 2$ TeV can
accommodate the $B$-anomalies alone. Only the vector leptoquark, known as
$U_1$, can provide a viable solution which, in the minimal setup, provides an
interesting prediction, i.e. a lower bound to the lepton flavor violating $b\to
s\mu^\pm\tau^\mp$ decay modes, such as $\mathcal{B}(B\to K\mu\tau) \gtrsim
0.7\times 10^{-7}$.
