  A generalization to the almost complex setting of a well-known result by S.
Webster is given. Namely, we prove that if $\Gamma$ is a strongly pseudoconvex
hypersurface in an almost complex manifold $(M, J)$, then the conormal bundle
of $\Gamma$ is a totally real submanifold of $(T^*M, \J)$, where $\J$ is the
lifted almost complex structure on $T^*M$ defined by Ishihara and Yano.
