  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.).
