  Mondino and Naber recently proved that finite dimensional $\sf RCD$ spaces
are rectifiable. Here we show that the push-forward of the reference measure
under the charts built by them is absolutely continuous with respect to the
Lebesgue measure. This result, read in conjunction with another recent work of
us, has relevant implications on the structure of tangent spaces to $\sf RCD$
spaces. A key tool that we use is a recent paper by De Philippis-Rindler about
the structure of measures on the Euclidean space.
