$-1$ as quadratic residue in $p$-adic rings

Question

It is well known that $-1$ is a quadratic residue in all the fields $\mathbb F_p$ for primes of $4N+1$ type. I want to know if $-1$ is always a perfect square in the rings of $p$ to the $n$-th powers, for all primes of $4N+1$ type and for all natural numbers $n$.