  For a given quasi-Fuchsian representation $\rho:\pi_1(S)\to$
PSL$_2\mathbb{C}$ of the fundamental group of a closed surface $S$ of genus
$g\geq 2$, we prove that a generic branched complex projective structure on $S$
with holonomy $\rho$ and two branch points is obtained by bubbling some
unbranched structure on $S$ with the same holonomy.
