My hyperthyroid has stabilized at last review but I'm still taking thyrozol. Next review is a few months away. Will continuous take turn it in2 hypo?

No. Thyrozol not available in us. It will not cause hypothyroidism. It will only help regulate production of thyroid hormone. Your underlying thyroid disease might however cause you to become hypothyroid. Your doc knows the answer to this based upon your history and thyroid studies.