Conn. Gen. Stat. § 15-110
Sec. 15-110. Form and amount of security.
(b) Upon ten days' notification of the parties concerned, the executive director may reduce or, within the limits specified in section 15-106 , increase the amount of security ordered in any case if in the executive director's discretion the amount ordered is excessive or insufficient. In case the security originally ordered has been deposited, the excess shall be returned to the depositor, notwithstanding the provisions of section 15-111 . Substitution of security shall be permitted.