  In the present note we give a construction (based on a retractional argument)
of a Schauder basis for the Lipschitz free space $\mathcal{F}(N)$, over a net
$N$ in any separable infinite dimensional $\mathcal{L}_\infty$-space $X$. In
particular, this yields the first example of an infinite dimensional Banach
space $X$ not containing $c_0$ with such a property.
