Successive redemptions may be made of the premises at any time within 60 days of the last sale at which they were sold for more than the amount of the redemption money, interest and costs, and the premises again sold in the same manner and upon the same terms and conditions, and certificate shall be made in like form and manner as upon the sale on the first redemption, and the person redeeming shall be considered to have bid the amount of his or her redemption money, interest and costs; and if at any such sale the premises are not sold for a greater sum, the sheriff or other officer shall forthwith execute a deed to the purchaser, and no other redemption shall be allowed.
735 ILCS 5/12-135