  We study a continuous-time random walk, $X$, on $\mathbb{Z}^d$ in an
environment of dynamic random conductances taking values in $(0, \infty)$. We
assume that the law of the conductances is ergodic with respect to space-time
shifts. We prove a quenched invariance principle for the Markov process $X$
under some moment conditions on the environment. The key result on the
sublinearity of the corrector is obtained by Moser's iteration scheme.
