  We express correlators of the Jacobi $\beta$ ensemble in terms of (a special
case of) $b$-Hurwitz numbers, a deformation of Hurwitz numbers recently
introduced by Chapuy and Dolega. The proof relies on Kadell's generalization of
the Selberg integral. The Laguerre limit is also considered. All the relevant
$b$-Hurwitz numbers are interpreted (following Bonzom, Chapuy, and Dolega) in
terms of colored monotone Hurwitz maps.
