More than 63 million Americans have already voted - 42.6 million ballots have been cast by mail versus 20.9 in-person votes, according to the US Elections Project which consolidates state data.
Voting rights groups, the state and national Democratic parties, and the League of women Voters filed lawsuits seeking to extend the deadline for accepting mail-in ballots.
And limiting counties to one box apiece "plausibly decreases the opportunity for fraud", the court ruled. "But this ignores the other options for casting their ballots that these voters have", the court wrote.
Democrats tried to extend the deadline for counting those ballots, because the volume will be very high, and that puts pressure on voters to get their absentee ballots in now. In 2016, Trump won the state by less than 23,000 votes (less than 1 percent of the total vote).
But with simmering dissatisfaction over Trump's handling of the pandemic, opinion polls suggest Texas might be in reach for Democrat candidate Joe Biden.
Residents in massive jurisdictions such as Harris County, home to Houston and almost 5 million people, complained that was unrealistic.
Myrna Perez, director of the voting rights and elections program at New York University's Brennan Center for Justice, a non-partisan public policy institute which represented the groups challenging Abbott's order, said she had no plans to take the case to the U.S. Supreme Court.
Their lawsuit claimed that Abbott's proclamation had exceeded his authority under the pandemic-related Disaster Act, infringed on citizens' right to vote and disproportionately affected voters in large counties who would now have to drive further to avoid contracting COVID-19 by issuing an early ballot.
Republicans had opposed extending the November 3 deadline, saying that voters have plenty of opportunities to cast their ballots by the close of polls on Election Day and that the rules should not be changed so close to the election.
On October 9, U.S. District Judge Robert Pitman issued an injunction against Abbott's proclamation, stating that it would burden older and disabled voters who were already at increased risk of contracting COVID-19.