Let $(X, T^{1, 0}X)$ be a compact strictly pseudoconvex CR manifold which is CR embeddable into some complex Euclidean space. We show that $T^{1,0}X$ can be smoothly approximated by a sequence of strictly pseudoconvex CR structures $\{\mathcal{V}^k\}_{k\in \mathbb{N}\}$ such that each $(X,\mathcal{V}^k)$ is CR embeddable into the unit sphere of some complex Euclidean space.This is a joint work with Chin-Yu Hsiao and Bernhard Lamel.