  In a previous paper, it has been shown that the entropy of non-extremal black
holes in Warped Anti-de Sitter (WAdS) spaces in massive gravity can be computed
microscopically in terms of a dual conformal field theory. Here, we extend this
computation to a set of asymptotic boundary conditions that, while still
gathering the WAdS$_3$ black holes, also allow for new solutions that are not
locally equivalent to WAdS$_3$ space, and therefore are associated to the local
degrees of freedom of the theory (bulk massive gravitons). After presenting
explicit examples of such geometries, we compute the asymptotic charge algebra
and show that it is generated by the semi-direct sum of Virasoro algebra and an
affine Kac-Moody algebra. The value of the central charge turns out to be
exactly the one that leads to reproduce the entropy of the WAdS$_3$ black
holes. This result probes the WAdS$_3$/CFT$_2$ correspondence in presence of
bulk gravitons.
