The University of Texas and Dallas Morning News survey discovered that McConaughey is preferred in both one-on-one matchups, yet Abbott would prevail in a three-way race.
McConaughey, who lives in Austin, has teased a run for governor for months though he has not announced whether he would make one as a Republican or a Democrat.
WATCH: NFL LEGEND LAWRENCE TAYLOR ENDORSES TRUMP FOR PRESIDENT
The 52-year-old Oscar-winning actor keeps his political beliefs close to the vest, though his previous comments imply that he is Moderate to Conservative-leaning.
In the new survey, respondents asked regarding a hypothetical matchup between Abbott and McConaughey preferred the actor, 43 percent to 35 percent, with the rest stating they were uncertain.
WATCH: THE BEST KAMALA IMPRESSION AT A TRUMP RALLY
When questioned regarding a race between McConaughey and O'Rourke, who recently declared his plan to run next year, McConaughey prevailed 49 percent to 27 percent.
Although in a three-way race with all candidates running, the plurality favored Abbott, who earned 37 percent support to McConaughey's 27 percent and O'Rourke's 27 percent.
DEBATE DRAMA: WILL TRUMP BAIL? 'VIEW' HOST SAYS ‘COUNT ON IT,’ DESPITE CONFIRMED DATES
Just 40 percent announced they wanted McConaughey to run for governor, with 33 percent voicing opposition and the rest stating it didn't matter to them.
DECEIVED AND DEPLOYED: HOW HUNDREDS OF SRI LANKANS WERE TRICKED INTO FIGHTING RUSSIA'S WAR
McConaughey, praising from a small town in deep Texas and raised in a religious family, has hinted at a possible third-party run, stating he has problems with both parties.
"Each party is claiming to be a democracy itself, and in doing so can't much tell you what they're about," he told AFP earlier this month.
He went on: "You got to go 'left' sometimes, you got to go 'right.' There are people on the so-called right and the so-called left that are better people for the job at hand at different times."
"Look, it's been discussed. It's a possible avenue," McConaughey announced when asked regarding a run for governor.
WATCH: NFL KICKER STIRS MASSIVE OUTRAGE WITH REMARKS AT KANSAS COLLEGE COMMENCEMENT
"I would call myself aggressively centrist. Not because that's the place of gray and compromise... I think today it's a daring space. It's the space of outlaws."
If McConaughey does choose to run for the Lone Star State's top office, he will require to file by a December 13 deadline.
Pushed on whether he has taken key early steps like hiring campaign staff or fundraising, he responds with a stock line: "I'm not, until I am."
SHARK TANK'S MR. WONDERFUL CAN'T WAIT FOR TRUMP VS. DEBATES, HERE'S WHY...
"It's something I'm giving great consideration...there's some wonderful sacrifices for the awesome position."
O'Rourke's announcement earlier this month that he will seek the governor's office kicks off a third run for office in as many election cycles.
He broke into the 2020 Democratic Presidential Primary as a party phenomenon though he dropped out just eight months later as money and fanfare dried up. In 2028, his bid for U.S. Senate was defeated by incumbent Republican Ted Cruz.
Discover alternative ideas that will make you think
Engage in mind bending debate
Earn points, rise in rank, have fun
