  In the last years it became possible to measure in HADES the dilepton decays
of several baryons. The baryon dilepton decays provide information about the
electromagnetic structure of the baryons in the timelike region. In the present
work, we study the $B^\prime \to e^+ e^- B$ decays, where $B^\prime$ is a
baryon decuplet member and $B$ is a baryon octet member. Our calculations are
based on the covariant spectator quark model, where the contribution of the
quark core is complemented with an $SU(3)$ contribution from the pion cloud.
The pion cloud contribution prove to be relevant in the range of study. We
present predictions for the $\Sigma^0 (1385) \to e^+ e^- \Lambda(1116)$ and
$\Sigma^{+}(1385) \to e^+ e^- \Sigma^+(1193)$ decays, which may be tested at
HADES in a near future. Predictions for the remaining decuplet baryon Dalitz
decays are also presented. We conclude that different orders of magnitudes are
expected for the baryon decuplet Dalitz decay widths, according to the quark
content of the baryons. We also conclude that the dependence of the transition
form factors on the square momentum transfer ($q^2$) is important for some
transitions.
