Compliant hybrid seals offer a comparatively new approach to reduce leakage in turbo machinery, leading to higher efficiency even under transient operation. These properties are achieved by a reduced sealing gap along with added seal flexibility to minimize the risk of surface rubbing. is contribution investigates the rotordynamic properties by means of a minimal model consisting of a Jeffcott rotor and a visco-elastically supported seal. The steady state stability, the bifurcation behavior and the resulting limit cycles of an unbalanced rotor are being discussed and compared to the results for a balanced rotor and the case of a stiff seal support. The compliant support can either enlarge or reduce the stable operation range depending on design parameters. The permitted seal movability minimizes the risk of rotor-seal contact during passage through the resonance. Rotor and seal orbits induced by unbalance can loose their stability via Neimark-Sacker bifurcations but then also resynchronize.