A convex projective manifold is the quotient of an open convex subset
of the real projective space by a discrete group of projective
transformations. We consider the set of holonomies of strictly convex
projective structures. When the convex projective manifolds are
compact, results of Koszul and Benoist show that this set of
holonomies is a union of connected components of the representation
variety.  In order to extend this fact to the case of convex
projective manifolds of finite volume, we will explain how to prove
the closeness. The openness has already been proved by Cooper, Long
and Tillmann a year ago.