Conn. Gen. Stat. § 20-333a: Reciprocity.

The Commissioner of Consumer Protection may, upon the payment of the appropriate fee, as provided in section 20-335, grant a license or a card of registration provided for in this chapter, without an examination, to any currently practicing, competent person who holds a similar license or card of registration granted by any other state, licensure jurisdiction within another state, the District of Columbia or any territory or commonwealth of the United States having licensure or registration requirements substantially similar to, or higher than, those of this state, if the licensing authority in such other state, licensure jurisdiction within another state, the District of Columbia or any territory or commonwealth of the United States may grant such similar license or card of registration, without an examination, to any currently practicing, competent licensee or registrant from this state. The commissioner, in consultation with the appropriate examining board, may adopt regulations in accordance with the provisions of chapter 54 in order to carry out the provisions of this section.