At any time and as often as it may be deemed necessary, the department may require any or all sureties or any surety company to appear and qualify themselves upon any contractor’s bond. Whenever the surety or sureties upon any contractor’s bond become insufficient or are deemed by the department to have become insufficient, the department may demand in writing that the contracting person, firm, or corporation furnish such further contractor’s bond or bonds or additional surety in an amount not exceeding that originally required as may be deemed necessary considering the extent of the work remaining to be done upon the contract. No further payments may be made on the contract until such additional surety as is required is furnished.