President Donald Trump is beating every Democratic presidential candidate in hypothetical head-to-head matchups in Texas, new state polling finds.

A University of Texas/Texas Tribune state poll released Monday finds the president defeating both former Vice President Joe Biden and Sen. Elizabeth Warren of Massachusetts, the two front-running Democrats for the nomination, by 7 percentage points in Texas.

Sen. Bernie Sanders of Vermont trails Trump by the slimmest margin of the top Democratic candidates polled, losing to the president by 5 percentage points, 40% to 45%.

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The poll also finds Trump beating Democratic candidates who hail from Texas. He defeats former Housing and Urban Development Secretary Julián Castro by 13 percentage points. The survey also included former Rep. Beto O'Rourke of Texas, who dropped out of the race last week. Trump bested O'Rourke by 6 percentage points in the poll.

The survey also looked at how committed voters are about voting for Trump in 2020. Forty percent of registered voters say they're definitely voting for Trump as well as 8% who say probably. Meanwhile, 46% of voters say they definitely will not vote for Trump next year in addition to 6% who indicated they probably won't.

"That seems to be the durable feature of this poll – that Trump's durable core is about 40%," said Daron Shaw, a government professor at the University of Texas at Austin and co-director of the poll. "It's lackluster, but it's not fatal. He's running 5 or 6 points better in Texas than he is nationally."

In the race for the Democratic nomination, Biden leads the field with 23% in Texas. Warren comes in second with 18%, followed by O'Rourke – who's no longer in the race – at 14% and Sanders close behind with 12%. No other Democrat in the poll garnered double-digit support.

Biden leads among black voters with 38% of support, while Warren tops the field among white voters. O'Rourke, who came close to winning a Texas Senate seat in 2018, was leading among Hispanic voters, while Warren and Biden tied for second with 16% each and Sanders with 13%.