  We investigate the production of primordial black holes (PBHs) in a mixed
inflaton-curvaton scenario with a quadratic curvaton potential, assuming the
curvaton is in de Sitter equilibrium during inflation with $\langle \chi\rangle
=0$. In this setup, the curvature perturbation sourced by the curvaton is
strongly non-Gaussian, containing no leading Gaussian term. We show that for
$m^2/H^2\gtrsim 0.3$, the curvaton contribution to the spectrum of primordial
perturbations on CMB scales can be kept negligible but on small scales the
curvaton can source PBHs. In particular, PBHs in the asteroid mass range
$10^{-16}M_{\odot}\lesssim M\lesssim 10^{-10}M_{\odot}$ with an abundance
reaching $f_{\rm PBH} = 1$ can be produced when the inflationary Hubble scale
$H\gtrsim 10^{12}$ GeV and the curvaton decay occurs in the window from
slightly before the electroweak transition to around the QCD transition.
