  We investigate the impact of light ($\sim$ eV) sterile neutrinos in the
long-baseline experiment T2K. We show that, within the 3+1 scheme, for
mass-mixing parameters suggested by the short-baseline anomalies, the
interference among the sterile and the atmospheric oscillation frequencies
induces a new term in the $\nu_\mu \to \nu_e$ transition probability, which has
the same order of magnitude of the standard 3-flavor solar-atmospheric
interference term. We show, for the first time, that current T2K data, taken
together with the results of the $\theta_{13}$-dedicated reactor experiments,
are sensitive to two of the three CP-violating phases involved in the 3+1
scheme. Both the standard CP-phase and the new one ($\delta_{13} \equiv \delta$
and $\delta_{14}$ in our parameterization choice) tend to have a common best
fit value $\delta_{13} \simeq \delta_{14} \simeq -\pi/2$. Quite intriguingly,
the inclusion of sterile neutrino effects leads to better agreement between the
two estimates of $\theta_{13}$ obtained, respectively, from reactors and T2K,
which in the 3-flavor framework are slightly different.
