Consider a three dimensional cusped spherical \(\mathrm{CR}\) manifold \(M\) and suppose that the holonomy representation of \(\pi_1(M)\) can be deformed in such a way that the peripheral holonomy is generated by a non-parabolic element. We prove that, in this case, there is a spherical \(\mathrm{CR}\) structure on some Dehn surgeries of \(M\). The result is very similar to R. Schwartz's spherical \(\mathrm{CR}\) Dehn surgery theorem, but has weaker hypotheses and does not give the unifomizability of the structure. We apply our theorem in the case of the Deraux-Falbel structure on the Figure Eight knot complement and obtain spherical \(\mathrm{CR}\) structures on all Dehn surgeries of slope \(-3 + r\) for \(r \in \mathbb{Q}^{+}\) small enough.