The electromagnetic structure of the baryons is modified
in the nuclear medium.
The modifications can be inferred from the comparison
between the electromagnetic form factors in medium with
the respective form factor in vacuum.
Of particular interest is the ratio between
the electric and magnetic form factors in medium ($G_E^*/G_M^*$)
and vacuum ($G_E/G_M$) of the octet baryons.
The deviation of the double ratios ($G_E^*/G_M^*)/(G_E/G_M)$ from
unity measures the impact of the medium modification
of the electromagnetic structure in a nuclear medium.
Measurements of the double ratios $(G_E^*/G_M^*)/(G_E/G_M)$
for different nuclear densities may become available
in the near future using the polarization-transfer method
developed at Jefferson Lab.
We present estimates of the double ratios of octet baryons
based on a covariant constituent quark model,
which takes into account pion cloud excitations of the baryon cores,
for different nuclear densities.
Our results manifest different features, namely,
enhancement or quenching depending on the baryon flavor content.