The changes would not go into effect until the court lifts its injunction.
Election Day 2020 has arrived and voters in Chicago and Illinois are heading to the polls today.
Ballot requests in 38 states, whether by mail or through some form of in-person early voting, surpassed 35 million this week.
Abbott's order shuttered dozens of sites statewide, limiting the number of drop-off locations to one per county, including in Texas' biggest cities.
Election judges said off-camera they have never seen anything like it.
Registered voters can also vote on Election Day, even if they've requested mail in ballot.