We develop the relationship between the gluon distribution obtained using a dipole model fitted to low x data on the proton structure function for nuclear shadowing in deep-inelastic scattering corresponding to kinematic regions accessible by the future experiments at electron-ion colliders. The improved dipole model on the impact parameter for nuclei shows the nuclear shadowing at small-x and the nuclear saturation at large-r. Nuclear shadowing is treated within the color dipole formalism with respect to the mass number A. The magnitude of nuclear shadowing in the impact parameter saturation model (IP-sat) is predicted for light nuclei in a wide range of the impact parameter b and the transverse dipole size r. We compare the model, originally proposed for gluon density within the dipole framework long ago by R.S.Thorne, with nCETQ15 and show that the nuclear ratio σ A dip /σ0 has a similar behavior with the Golec-Biernat-Wüsthoff (GBW) model in a wide range of r and A at low x. We find that at x = 10 −6 and for heavy nuclei, the ratio of dipole cross sections have a saddle-shaped behavior in the range 2×10 −2 r 2×10 −1 fm, whose magnitude increases with an increase of the atomic number A. This behavior becomes softer when the qqg components in the diffractive systems are considered.