  For a rigid space $X$, we answer two questions of de Jong about the category
$\mathbf{Cov}^\mathrm{adm}_X$ of coverings which are locally in the admissible
topology on $X$ the disjoint union of finite etale coverings: we show that this
class is different from the one used by de Jong, but still gives a tame
infinite Galois category. In addition, we prove that the objects of
$\mathbf{Cov}^\mathrm{et}_X$ (with the analogous definition) correspond
precisely to locally constant sheaves for the pro-etale topology defined by
Scholze.
