  We quantify the evidence for cosmic acceleration using simulations of $H(z)$
measurements from SKA- and Euclid-like surveys. We perform a non-parametric
reconstruction of the Hubble parameters and its derivative to obtain the
deceleration parameter $q(z)$ using the Gaussian Processes method. This is a
completely model-independent approach, so we can determine whether the Universe
is undergoing accelerated expansion {\it regardless} of any assumption of a
dark energy model. We find that Euclid-like and SKA-like band 1 surveys can
probe cosmic acceleration at over $3$ and $5\sigma$ confidence level,
respectively. By combining them with a SKA-like band 2 survey, which reaches
lower redshift ranges, the evidence for a current accelerated phase increases
to over $7\sigma$. This is a significant improvement from current $H(z)$
measurements from cosmic chronometers and galaxy redshift surveys, showing that
these surveys can underpin cosmic acceleration in a model-independent way.
