  Proxima c, a candidate second planet orbiting Proxima Centauri, was detected
with the radial velocity method. The announced long orbital period
(5.21$^{+0.26}_{-0.22}$ years), and small semi-amplitude of the induced Doppler
signal (1.2$\pm$0.4 m/s), make this detection challenging and the target worthy
of a follow-up in the next years. We intend to evaluate the impact of future
data on the statistical significance of the detection through realistic
simulated radial velocities to be added to the published dataset, spanning up
to one orbital period of Proxima c in the time range 2019-2023. We find that
the detection significance of Proxima c increases depending not only on the
amount of data collected, but also on the number of instruments used, and
especially on the timespan covered by the observational campaign. However, on
average we do not get strong statistical evidence and we predict that, in the
best-case scenario, in the next 5 years the detection of Proxima c can become
significant at 4$\sigma$ level. If instead Proxima c does not exist, the
detected signal may lower its significance down to 2$\sigma$.
