  The experimental observation of a clear quantum signature of gravity is
believed to be out of the grasp of current technology. However, several recent
promising proposals to test the possible existence of non-classical features of
gravity seem to be accessible by the state-of-art table-top experiments. Among
them, some aim at measuring the gravitationally induced entanglement between
two masses which would be a distinct non-classical signature of gravity. We
explicitly study, in two of these proposals, the effects of decoherence on the
system's dynamics by monitoring the corresponding degree of entanglement. We
identify the required experimental conditions necessary to perform successfully
the experiments. In parallel, we account also for the possible effects of the
Continuous Spontaneous Localization (CSL) model, which is the most known among
the models of spontaneous wavefunction collapse. We find that any value of the
parameters of the CSL model would completely hinder the generation of
gravitationally induced entanglement.
