  We present a lattice determination of the disconnected contributions to the
leading-order hadronic vacuum polarization (HVP) to the muon anomalous magnetic
moment in the so-called short and intermediate time-distance windows. We employ
gauge ensembles produced by the Extended Twisted Mass Collaboration (ETMC) with
$N_f = 2 + 1 + 1$ flavours of Wilson twisted-mass clover-improved quarks with
masses approximately tuned to their physical value. We take the continuum limit
employing three lattice spacings at about 0.08, 0.07 and 0.06 fm.
