  The transition magnetic moments between negative parity, spin-1/2 heavy
baryons are studied in framework of the light cone QCD sum rules. By
constructing the sum rules for different Lorentz structures, the unwanted
contributions coming from negative (positive) to positive (negative) parity
transitions are removed. It is found that the magnetic moments between neutral
negative parity heavy $\Xi_Q^{\prime 0}$ and $\Xi_Q^0$ baryons are very small.
Magnetic moments of the $\Sigma_Q \to \Lambda_Q$ and $ \Xi_Q^{\prime \pm} \to
\Xi_Q^\pm$ transitions are quite large and can be measured in further
experiments.
