  The effective action for quantum gravity coupled to matter contains
corrections arising from the functional measure. We analyse the effect of such
corrections for anisotropic self-gravitating compact objects described by means
of the gravitational decoupling method applied to isotropic solutions of the
Einstein field equations. In particular, we consider the Tolman IV solution of
general relativity and show that quantum gravity effects can modify the
effective energy density as well as the effective tangential and radial
pressures. For a suitable choice of the mimicking constant, upper bounds on the
quantum corrections can be driven by the surface redshift of the anisotropic
compact stellar system obtained with the gravitational decoupling.
