Let $R$ be a ring.

Qeustion: Is it true that the first Hochschild cohomology of $R$ is zero if and only if the outer automorphism group of $R$ is finite?

This is true for finite dimensional algebras but possibly true in a much more general sitation (maybe even for more general categories than module categories of rings). Is there a suitable reference for this (at least for finite dimensional algebras)?