  It is known that the Weyl families corresponding to unitary boundary pairs
$(\mathcal{H},\Gamma)$ belong to the class $\tilde{\mathcal{R}}(\mathcal{H})$
of Nevanlinna families. Here we extend the theorem to the case of essentially
unitary boundary pairs by showing that the closures of members of the Weyl
families belong to the class $\tilde{\mathcal{R}}(\mathcal{H})$. Thus bounded
Weyl functions of essentially unitary boundary pairs are of class
$\mathcal{R}[\mathcal{H}]$.
