  Eddington-inspired Born-Infeld gravity is an important modification of
Einstein's general relativity, which can give rise to non-singular cosmologies
at the classical level, and avoid the end-stage singularity in a gravitational
collapse process. In the Newtonian limit, this theory gives rise to a modified
Poisson's equation, as a consequence of which stellar observables acquire model
dependent corrections, compared to the ones computed in the low energy limit of
general relativity. This can in turn be used to establish astrophysical
constraints on the theory. Here, we obtain such a constraint using
observational data from cataclysmic variable binaries. In particular, we
consider the tidal disruption limit of the secondary star by a white dwarf
primary. The Roche lobe filling condition of this secondary star is used to
compute stellar observables in the modified gravity theory in a numerical
scheme. These are then contrasted with the values obtained by using available
data on these objects, via a Monte Carlo error progression method. This way, we
are able to constrain the theory within $5\sigma$ confidence level.
