  We investigate a possible background of the type Omega_c^0 --> Xi_c^+ pi^- to
the CLEO Xi_c^+ lifetime measurement. This decay mode may lead to an
overestimate of the Xi_c^+ decay length and, therefore, increase the measured
Xi_c^+ lifetime. The branching ratio Gamma(Omega_c^0 --> Xi_c^+
pi^-)/Gamma(Omega_c^0 --> Omega^- pi^+) is analyzed in the framework of the
pole model and the modified current algebra. We find that the Omega_c^0 -->
Xi_c^+ pi^- decay mode could not generate a substantial systematic error in the
Xi_c^+ lifetime measurement. Also, it cannot significantly reduce the
disagreement between theoretical and experimental values of the Xi_c^+
lifetime.
