The House GOP leadership is facing mounting pressure to take up a Democratic bill that would serve as a way to update the legislative body's protocols for dealing with harassment allegations, and bring them more in line with the private sector's modern policies. The bill is known as the Member and Employee Training and Oversight on Congress Act, or the Me Too Congress Act.

The bill's sponsor, Rep. Jackie Speier, D-Calif., announced Thursday the legislation now has 110 co-sponsors.

Speier is hoping the increased national attention on sexual harassment and assault in the workplace will help her push through legislation to strengthen the rules in Congress by the end of 2017.

The effort couldn't be more timely, as the wave of sexual assault that hit Hollywood has now crashed into Washington.

Alabama's Republican Senate candidate, Roy Moore, has been accused by several women of assault and inappropriate advances. Sexual misconduct has most recently cost Rep. John Conyers, D-Mich., his seat, and Sen. Al Franken, D-Minn., has been accused of improper behavior by eight women and could step down later on Thursday.

"I think we are at a watershed moment," Speier said during a Committee on House Administration hearing Thursday morning.

Speier also said her bill does not do enough to protect victims.

"I think we need to recognize that the House Ethics Committee or House Administration Committee is not the venue to which investigations should be sent when a complaint is filed of sexual harassment," she added.

Rep. Debbie Dingell, D-Mich., last week urged House Speaker Paul Ryan to bring Speier's bill to the floor for a vote this week. Ryan has not indicated any plans to do so.