Conn. Gen. Stat. § 5-228

(b) If a vacancy is to be filled by a promotional appointment from within the agency, the commissioner shall certify to the appointing authority the names of all candidates from the agency in accordance with the provisions of section 5-215a , or if an examination is waived, in accordance with the provisions of section 5-227b .

(c) If a vacancy is to be filled by promotion from a service-wide candidate list, the commissioner shall certify to the appointing authority the names of all candidates on that candidate list in accordance with the provisions of section 5-215a , or if an examination is waived, in accordance with the provisions of section 5-227b .

(d) If a vacancy is to be filled by an original appointment, the commissioner shall certify to the appointing authority the names of all candidates on that candidate list in accordance with the provisions of section 5-215a , or if an examination is waived, in accordance with the provisions of section 5-227b .

(e) If a position becomes vacant as a result of the promotion of the incumbent, the appointing authority shall assess the disposition of such position. If the appointing authority determines such position is to be filled, the appointing authority shall provide notice to the Commissioner of Administrative Services in accordance with subsection (a) of this section.

(f) Appointees to any position in the classified service shall be required to serve the working test period provided for in this chapter. Any promotional appointee from within the agency who is dismissed from the position to which he or she was promoted during such working test period, or at the conclusion thereof, shall be restored to a position in the same class in which he or she had been employed prior to his or her promotion. Any other appointee who was employed in the classified service prior to his or her appointment and who is dismissed from the position to which he or she was appointed during such working test period or at the conclusion thereof, shall be restored to a vacancy in the same class, or a vacancy in a comparable class or a vacancy in any other position the employee is qualified to fill, in the agency in which he or she had been employed prior to his or her appointment, or shall have his or her name placed on a reemployment list. No provision of this section shall be construed to prevent any employee in the unclassified service from competing for positions in the classified service if he or she possesses the minimum qualifications established by the commissioner. In the certification of names of persons eligible for appointment, sex shall be disregarded except when otherwise provided by statute or upon request of the appointing authority, subject to the approval of the commissioner.