Prince George's County Del. Tiffany Alston believes the word "marriage" may be the stumbling block that's preventing the bill from moving forward, so she's working on an amendment to the measure, which she co-sponsored.
"I think that if we wanted to issue a license to everybody and call it something like a 'civil union license' and then everybody in the state whether hetersexual or homosexual would get exactly the same license," she says.
Republicans on the committee, who oppose the bill, say they have no plans to walk out of the hearing to prevent a vote, and the time is on their side Del. Donald Dwyer represents Anne Arundel County.
"The longer there's a delay, the more opportunity we have to continue to work the public," he says.
If a vote does come Thursday, it's not going to happen until late in the evening -- and until the Democrats feel they have enough votes to pass the measure.