Texas's senior senator, John Cornyn John CornynThe Hill's Campaign Report: GOP set to ask SCOTUS to limit mail-in voting Liberal super PAC launches ads targeting vulnerable GOP senators over SCOTUS fight Senate GOP faces pivotal moment on pick for Supreme Court MORE (R), has a lower approval rating in his home state than Sen. Ted Cruz Rafael (Ted) Edward CruzTrump argues full Supreme Court needed to settle potential election disputes Press: Notorious RBG vs Notorious GOP The Hill's Morning Report - Sponsored by Facebook - Washington on edge amid SCOTUS vacancy MORE (R-Texas), who narrowly won reelection in 2018's midterm elections, according to a new poll.

The Quinnipiac University poll released Tuesday found that 43 percent of Texas voters say they approve of the job Cornyn is doing in Washington, compared to 51 percent who said the same about Cruz.

More voters had no opinion about Cornyn's job performance than Cruz's, pollsters found, suggesting that fewer of them know the senior senator and his legislative record in the upper chamber.

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Cornyn's disapproval ratings were notably much lower than Cruz's: 26 percent of Texas voters disapprove of his performance, compared to 40 percent who disapprove of Cruz's performance.

The poll comes as former Texas Rep. Beto O'Rourke Beto O'RourkeJimmy Carter says his son smoked pot with Willie Nelson on White House roof O'Rourke endorses Kennedy for Senate: 'A champion for the values we're most proud of' 2020 Democrats do convention Zoom call MORE (D), who lost narrowly to Cruz in November, has said he is considering a run for the White House in 2020 and has been pressured to challenge Cornyn in Texas.

"I'm trying to figure out how I can best serve this country — where I can do the greatest good for the United States of America. So, yeah, I'm thinking through that and it, you know, may involve running for the presidency. It may involve something else," O'Rourke said earlier this month when asked whether he would challenge the senior Texas senator.

"I won't be limited by, you know, the end of this month. But I expect to be able to get to a decision by the end of this month," he added at the time.

Quinnipiac's poll of 1,222 Texas voters was conducted from Feb. 20 to 25. It has a margin of error of 3.4 percentage points.