An impurity solver based on a continuous-time quantum Monte Carlo method is developed for the Coqblin–Schrieffer model. The Monte Carlo simulation does not encounter a sign problem for antiferromagnetic interactions, and accurately reproduces the Kondo effect. Our algorithm can deal with an arbitrary number N of local degrees of freedom, becomes more efficient for larger values of N , and is hence suitable for models with orbital degeneracy. The dynamical susceptibility and the impurity t -matrix are derived with the aid of the Padé approximation for various values of N , and good agreement is found with other methods and available exact results. We point out that the Korringa–Shiba relation needs correction for a finite value of the exchange interaction.