  We examine relative entropy in the context of the higher-spin/CFT duality. We
consider 3$d$ bulk configurations in higher spin gravity which are dual to the
vacuum and a high temperature state of a CFT with $\mathcal{W}$-algebra
symmetries in presence of a chemical potential for a higher spin current. The
relative entropy between these states is then evaluated using the Wilson line
functional for holographic entanglement entropy. In the limit of small
entangling intervals, the relative entropy should vanish for a generic quantum
system. We confirm this behaviour by showing that the difference in the
expectation values of the modular Hamiltonian between the states matches with
the difference in the entanglement entropy in the short-distance regime.
Additionally, we compute the relative entropy of states corresponding to smooth
solutions in the $SL(2,\mathbb{Z})$ family with respect to the vacuum.
