Leaders of corrections officers' union locals want back their committee that put front-line staff at the prisons at the same table with management.
Gov. M. Jodi Rell vetoed the bill that would make the committee permanent, saying she preferred to see "consensus" without legislation.
AFSCME leaders who are calling for the Legislature to override the veto said the Department of Correction resisted consensus until the committee was formed earlier this year.
"The perfect example is how to report assaults," said Jon Pepe, president of AFSCME Local 391. "We tried for years with that. Even the legislative program review committee testified back in 2003 it was misleading."
AFSCME represents nearly 5,000 employees in Connecticut's prison system, which houses 19,000 inmates.