Lamont Bagby, the chair of the Virginia Legislative Black Caucus, tells CNN that his group wants an investigation into Virginia Lt. Gov. Justin Fairfax, but they won't conduct it.

"I don't think it's our role, but we are anxious to see what an investigation gets us," Bagby said.

Fairfax has been accused by a college professor of sexual assault.

Many Democrats have called for an investigation into Fairfax for what they view as a credible allegation made against him but have stopped short of calling for a resignation. Vanessa Tyson said Wednesday that Fairfax sexually assaulted her at the 2004 Democratic National Convention in Boston. Fairfax has vehemently denied the allegation.