  We study tidal effects induced by a particle moving along a slightly
eccentric equatorial orbits in a Schwarzschild spacetime within the
gravitational self-force framework. We compute the first order (conservative)
corrections in the mass-ratio to the eigenvalues of the electric-type and
magnetic-type tidal tensors up to the second order in eccentricity and through
the 9.5 post-Newtonian order. Previous results on circular orbits are thus
generalized and recovered in a proper limit.
