  We prove that given $\mathcal{C}$ a presentably symmetric monoidal
$\infty$-category, and any essentially small $\infty$-operad $\mathcal{O}$, the
$\infty$-category of $\mathcal{O}$-algebras in $\mathcal{C}$ is enriched,
tensored and cotensored over the presentably symmetric monoidal
$\infty$-category of $\mathcal{O}$-coalgebras in $\mathcal{C}$. We provide a
higher categorical analogue of the universal measuring coalgebra. For
categories in the usual sense, the result was proved by Hyland, L\'{o}pez
Franco, and Vasilakopoulou.
