  We improve results of Baouendi, Rothschild and Treves and of Hill and
Nacinovich by finding a much weaker sufficient condition for a CR manifold of
type $(n,k)$ to admit a local CR embedding into a CR manifold of type
$(n+\ell,k-\ell)$. While their results require the existence of a finite
dimensional solvable transverse Lie algebra of vector fields; we require only a
finite dimensional extension.
