  We investigate a way of imposing simplicity constraints in a holomorphic Spin
Foam model that we recently introduced. Rather than imposing the constraints on
the boundary spin network, as is usually done, one can impose the constraints
directly on the Spin Foam propagator. We find that the two approaches have the
same leading asymptotic behaviour, with differences appearing at higher order.
This allows us to obtain a model that greatly simplifies calculations, but
still has Regge Calculus as its semi-classical limit.
