  In this paper we investigate a problem of large deviations for continuous
Volterra processes under the influence of model disturbances. More precisely,
we study the behavior, in the near future after $T$, of a Volterra process
driven by a Brownian motion in a case where the Brownian motion is not directly
observable, but only a noisy version is observed or some linear functionals of
the noisy version are observed. Some examples are discussed in both cases.
