$X \overset{d}{\longrightarrow} N(0,\sigma ^2) \implies \frac{X}{\sqrt{S_n ^2}} \overset{d}{\longrightarrow} N(0,1)$?

Question

I want to check the following $X \overset{d}{\longrightarrow} N(0,\sigma ^2) \implies \frac{X}{\sqrt{S_n ^2}} \overset{d}{\longrightarrow} N(0,1)$

I know $S_n ^2$ is a consistent estimator for the variance, but how can I use that to deduce anything like the above?