A House committee controlled by Republicans approved the bill on Wednesday.
Major obstacles, including long lines and defective voting machines, prompted concerns of voter suppression in Georgia.
Many voters had to wait hours to cast ballots in the state's primary on Tuesday at polling places where there were also reports of defective machines.
Jill Karofsky, who won a state Supreme Court seat, accused Republicans of endangering voters during the coronavirus pandemic.
Democrats characterized the election as "voter suppression on steroids" after Republicans refused to postpone it amid a deadly viral pandemic.
Crystal Mason was never told she couldn't vote while on parole, and her provisional ballot wasn't even counted.
On Super Tuesday, voters in Texas had to deal with long lines at polling places which could prove to be disastrous come November.
Due to racial gerrymandering and voter suppression, Black voters in the South have to jump through hoops to cast ballots and demand fair representation in their government.
Justin Clark was recorded at a private event saying: “That’s what you’re going to see in 2020. It’s going to be a much bigger program, a much more aggressive program."
Texas resident Crystal Mason was sentenced to five years in prison for voting illegally in the 2016 presidential election. Her ballot was never counted.