Conn. Gen. Stat. § 6-38g

Notwithstanding the provisions of sections 6-38a and 6-38f , no high sheriff who appointed himself or herself a deputy sheriff or has been appointed a deputy sheriff by another high sheriff pursuant to section 6-38 shall become a state marshal on or after December 1, 2000, by virtue of being a deputy sheriff, except that a high sheriff may notify the Chief Court Administrator on or before June 30, 2000, of the desire of such high sheriff to be appointed as a state marshal, and such high sheriff may be appointed as a state marshal after December 1, 2000, provided such high sheriff resigns his or her position as high sheriff effective December 1, 2000.