  Quasi-Dirac neutrinos are obtained when the Lagrangian density of a neutrino
mass model contains both Dirac and Majorana mass terms, and the Majorana terms
are sufficiently small. This type of neutrinos introduces new mixing angles and
mass splittings into the Hamiltonian, which will modify the standard neutrino
oscillation probabilities. In this paper, we focus on the case where the new
mass splittings are too small to be measured, but new angles and phases are
present. We perform a sensitivity study for this scenario for the upcoming
experiments DUNE and JUNO, finding that they will improve current bounds on the
relevant parameters. Finally, we also explore the discovery potential of both
experiments, assuming that neutrinos are indeed quasi-Dirac particles.
