On any strictly pseudoconvex CR manifold M, of CR dimension n, equipped with a positively oriented contact form \(\theta \) , we consider natural \(\epsilon \) -contractions, i.e., contractions \(g_\epsilon ^M\) of the Levi form \(G_\theta \) , such that the norm of the Reeb vector field T of \((M, \theta)\) is of order \(O(\epsilon ^{-1})\) . We study isopseudohermitian (i.e., \(f^*\Theta = \theta \) ) Cauchy-Riemann immersions \(f: M \rightarrow (A, \, \Theta)\) between strictly pseudoconvex CR manifolds M and A, where \(\Theta \) is a contact form on A. For every contraction \(g_\epsilon ^A\) of the Levi form \(G_\Theta \) we write the embedding equations for the immersion \(f: M \rightarrow \big (A, \, g_\epsilon ^A \big)\) .