  The possibility to observe lepton flavour violating Z decays in the GigaZ
option of DESY's TESLA project consistently with present bounds from other
processes is analyzed in the context of the minimal supersymmetric standard
model. In particular, constraints on the slepton mass matrices from radiative
lepton decays are updated and taken into account. Their correlation to the
present measurement of the muon anomalous dipole moment is briefly discussed.
