  In this paper we study $\ell_1$-like properties for some Lipschitz-free
spaces. The main result states that, under some natural conditions, the
Lipschitz-free space over a proper metric space linearly embeds into an
$\ell_1$-sum of finite dimensional subspaces of itself. We also give a
sufficient condition for a Lipschitz-free space to have the Schur property, the
$1$-Schur property and the $1$-strong Schur property respectively. We finish by
studying those properties on a new family of examples, namely the
Lipschitz-free spaces over metric spaces originating from $p$-Banach spaces,
for $p$ in $(0,1)$.
