  Let $\Pi$ be a rank $2$ Poisson Structure in the Projective Space defined by
the dimension $2$ foliation $\mathcal{F}$ in the pull-back component. We prove
that for a generic choice of $\mathcal{F}$, the irreducible component of the
Poisson structures containing $\Pi$ and the irreducible component of Foliations
containing $\mathcal{F}$ coincides.
