A locking assembly for a refrigerator appliance having inner and outer doors includes a catch mounted to an inner door of the refrigerator. The catch includes a body having a support surface and a locking member. The support surface may be positioned between an outer surface of the inner door and an inner surface of the outer door. The locking assembly also includes a latch coupled to the outer door and operable to engage the latch member. In addition, the locking assembly includes a magnet positioned on the support surface, and the magnet is operable to exert a magnetic bias on the outer door towards the inner door along the transverse direction to compress a gasket that is operable to seal against the outer surface of the inner door or the inner surface of the outer door.