Trump comes out ahead among likely Texas voters, 41-38, with Libertarian Gary Johnson at 4 percent and Green Party candidate Jill Stein at 1 percent.
A recent Texas poll from Dixie Strategies shows Trump further ahead at +7.
Both recent polls show a decrease in the Republican candidate's lead since 2012, when Romney won the state by 16 points.
The University of Houston poll was conducted via live telephone interview from Oct. 7-15 among 1,000 likely Texas voters, and has a margin of error of plus or minus three percent.
TPM's PollTracker Average for the general election in Texas shows Trump leading Clinton, 47.6 to 37.4.