  It was shown by Mondino-Wei that any $\mathrm{RCD}^{*}(K,N)$ space
$(X,d,\mathfrak{m})$ has a universal cover. We prove that for any point $x \in
X$ and $R>0$, there exists $r<R$ such that any loop in $B_r(x)$ is contractible
in $B_R(x)$; in particular, $X$ is semi-locally simply connected and the
universal cover of $X$ is simply connected. This generalizes the author's
earlier work that any Ricci limit space is semi-locally simply connected.
