# If an irreducible admissible representation is generic, so is its contragredient?

Let $G$ be a $p$-adic reductive group, and $\pi$ be an irreducible admissible representation of $G$ that is generic, do we know that the contragredient representation of $\pi$ is also generic?

If $G$ is classical group, I know this is true. Thus this question mainly asks exceptional group case.

I think this should be true, but I couldn't find reference for exceptional groups.