Airflow phenomena in the tip clearance region and near compressor blades of a transonic axial compressor are the original source of reduction in the aerodynamic performance and stability, such as pressure rise, efficiency, stall margin, and stable range extension. In the parametric study, a small airflow bleed from rotor shroud surface through a circumferential ejector and its geometrical design were performed to determine the effect of bleeding airflow on the aerodynamic performance. In the optimization work, the four most impacted geometric parameters combined with an operating parameter (ejection mass flow rate) were chosen as five design variables, i.e., bleeding angle, radii curvature, bleeding position, bleeding width, and bleeding mass flow rate, respectively. A single-objective optimization based on surrogate models using objective function values calculated at Reynolds-Averaged Navier-Stokes (RANS) design points by Latin hypercube sampling method implanted in MATLAB software was performed to maximize the peak adiabatic efficiency. The optimization results showed that the peak adiabatic efficiency was simultaneously improved with airflow bleed from the rotor shroud surface compared to the smooth casing.