  We show that if an irreducible admissible representation of
$\mathrm{SO}_{4n}(F)$ has a generalized Shalika model, then its small theta
lift to $\mathrm{Sp}_{4n}(F)$ has the symplectic linear model, thus answering a
question posed by D. Jiang. Here $F$ is a non-archimedean field of
characteristic zero.
