  We analyze conditions for a tri-vector deformation of a supergravity
background to preserve some supersymmetry. Working in the formalism of the
SL(5) exceptional field theory, we present its supersymmetry transformations
and introduce an additional USp(4) transformation to stay in the supergravity
frame. This transformation acts on local indices and deforms BPS equations of
exceptional field theory. The requirement for the deformation to vanish is the
desired condition. The condition is shown to be consistent with previous
results on bi-vector deformations.
