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Given a concave integro-differential operator $I$, we study regularity forsolutions of fully nonlinear, nonlocal, parabolic, concave equations of theform $u_t-Iu=0$. The kernels are assumed to be smooth but non necessarilysymmetric which accounts for a critical non-local drift. We prove a $C^{\s+\a}$estimate in the spatial variable and a $C^{1,\a/\s}$ estimates in time assumingtime regularity for the boundary data. The estimates are uniform in the orderof the operator $I$, hence allowing us to extend the classical Evans-Krylovresult for concave parabolic equations.

$C^{\s+\a}$ estimates for concave, non-local parabolic equations with critical drift