Lipschitz-free spaces over compact subsets of superreflexive spaces are weakly sequentially complete

Let be a compact subset of a superreflexive Banach space. We prove that the Lipschitz-free space ℱ(), the predual of the Banach space of Lipschitz functions on , has Pełczyński's property (∗). As a consequence, ℱ() is weakly sequentially complete.