  We consider the Minimal Gauge Mediated Model (MGMM) with messenger-matter
mixing and find that existing experimental limits on $\mu \to e\gamma$ decay
and $\mu - e$ - conversion place significant constraints on relevant coupling
constants. On the other hand, the rates of $\tau \to e\gamma$ and $\tau \to
\mu\gamma$ in MGMM are well below the existing limits. We also point out the
possibility of sizeable slepton oscillations in this model.
