The commissioners court can demand an additional bond from a depository when county funds are deposited there, and the depository must keep that bond in place while those funds remain.
Sec. 116.087. ADDITIONAL BOND. (a) If after a county establishes a depository the county or a subdivision of the county receives funds from the sale of bonds or otherwise, at the next meeting of the commissioners court, or as soon afterward as is practical, the commissioners court may make written demand on the depository to provide an additional bond in an amount equal to the amount of funds received. If county funds derived from the sale of county securities during the term of a depository bond are deposited with the depository, the commissioners court shall require an additional bond in an amount equal to the additional county funds. The depository shall continue the additional bond in effect as long as the additional funds remain in the depository. (b) The depository may cancel this extra or special bond and concurrently substitute a new bond for it as the additional funds are reduced. However, the additional bond must always at least equal the amount of the additional funds. (c) If a depository does not provide an additional bond under Subsection (a) within 30 days after the date the commissioners court demands the additional bond, the commissioners court may withdraw the additional funds from the depository by the draft of the county treasurer and deposit them in a solvent national or state bank that has a combined capital stock and surplus greater than the amount of the additional funds. The commissioners court may leave the additional funds on deposit with this alternative bank until the county depository files the required additional bond with the commissioners court, after which the commissioners court shall redeposit the balance of the additional funds with the county depository. Acts 1987, 70th Leg., ch. 149, Sec. 1, eff. Sept. 1, 1987.