A systematic current annealing treatment to achieve a high magnetoimpedance (MI) response in CoFeSiB amorphous ribbons is demonstrated. After current annealing in the present of air, although transverse permeability can increase but because of a significant surface oxidization, condition to reach a high MI response cannot be achieved. Additionally, this process leads to asymmetric MI response. In this paper, the effect of mechanical polishing of samples after current annealing is studied. We show a significant MI change by removing the hard magnetic phase on sample surface after current annealing. Results are useful and promising to be employed to reach high MI response for sensing applications.