Conn. Agencies Regs. § 31-51k-1
No employer or agent or representative of an employer shall employ an alien not entitled to lawful residence in the United States. For the purposes of this regulation, "lawful residence" is the legal presence within the United States in compliance with any and all applicable laws, regulations administered and enforced by the U.S. Immigration and Naturalization Service, permits issued by the U.S. Department of Labor, and all other agencies or instrumentalities of the United States having jurisdiction or power to control the entry, visitation, length of stay, work, commerce, exit, and deportation of persons. This definition includes temporary as well as permanent residence by aliens provided, however, that the alien concerned has been given official permission to work by the federal agency, commission, or instrumentality having jurisdiction to do so.
Conn. Agencies Regs. § 31-51k-1