We have carefully analysed the potential of future Cosmic Microwave Background ( CMB ) and Large Scale Structure ( LSS ) measurements to probe neutrino masses . We perform a Fisher matrix analysis on a 9-dimensional cosmological parameter space and find that data from the Planck CMB experiment combined with the Sloan Digital Sky Survey ( SDSS ) can measure a neutrino mass of 0.12 eV at 95 % conf . This is almost at the level of the 0.06 eV mass suggested by current neutrino oscillation data . A future galaxy survey with an order of magnitude larger survey volume than the SDSS would allow for a neutrino mass determination of 0.03-0.05 eV ( 95 % conf . ) .