  We give a general formulation of semi-direct gauge mediation of supersymmetry
breaking where the messengers interact with the hidden sector only through a
weakly gauged group. Using this general formulation, we provide an explicit
proof that the MSSM gaugino masses are vanishing to leading order in the gauge
couplings. On the other hand, the MSSM sfermion masses have, generically, a
non-vanishing leading contribution. We discuss how such a mechanism can
successfully be combined with other mediation schemes which give tachyonic
sfermions, such as sequestered anomaly mediation and some direct gauge
mediation models.
