Conn. Gen. Stat. § 31-51bb

No employee shall be denied the right to pursue, in a court of competent jurisdiction, a cause of action arising under the state or federal Constitution or under a state statute solely because the employee is covered by a collective bargaining agreement. Nothing in this section shall be construed to give an employee the right to pursue a cause of action in a court of competent jurisdiction for breach of any provision of a collective bargaining agreement or other claims dependent upon the provisions of a collective bargaining agreement.