An electronic topological transition (ET T) in Zn was recently deduced from an anomaly in the Lamb-Mössbauer factor f at 6.6 GPa [Potzel et al., Phys. Rev. Lett. 74, 1139(1995]. We show by inelastic neutron scattering up to 9.4 GPa that the pressure dependence of the low energy acoustic phonon modes S 4 , S 3 , and T 4 is completely regular without any singularity over the entire pressure range. No phonon softening was found beyond 6 GPa, in contrast to the Mössbauer studies. Lattice dynamical calculations demonstrate that, in general, the strong decrease of f cannot be due to the q ϳ 0 phonon modes sensitive to the occurrence of an ET T. [S0031-9007(98)