Conn. Agencies Regs. § 31-301-9
If any party to an appeal shall allege that additional evidence or testimony is material and that there were good reasons for failure to present it in the proceedings before the commissioner, he shall by written motion request an opportunity to present such evidence or testimony to the compensation review division, indicating in such motion the nature of such evidence or testimony, the basis of the claim of materiality, and the reasons why it was not presented in the proceedings before the commissioner. The compensation review division may act on such motion with or without a hearing, and if justice so requires may order a certified copy of the evidence for the use of the employer, the employee or both, and such certified copy shall be made a part of the record on such appeal.
Conn. Agencies Regs. § 31-301-9