From left, Sen. Kay Bailey Hutchison, Gov. Rick Perry and Debra Medina are seeking the Republican nomination for governor.
The latest poll still shows Gov. Rick Perry with a double-digit lead, but the battle for second place seems to be heating up.
The poll surveyed 423 likely GOP primary voters, which is considered a small sample. The poll has a margin of error of +/- 4.8 percent.
The survey also said Perry has support of 42 percent of those considering themselves conservatives. Medina had 25 percent, and Hutchison garnered 23 percent.
"The big question for Debra Medina is whether there’s enough unhappy voters out there for her to get into a runoff with Rick Perry,” said Dean Debnam, president of Public Policy Polling.
The Perry and Hutchison campaigns didn't issue any statements on the poll, but the Medina campaign was quick to try and capitalize.
"My campaign has been run on a shoestring budget, but it’s a case study for what we Texans are capable of accomplishing with less money, less resources," Medina said in a statement.
"Yes, we Texans are undoubtedly unhappy with how this state has been run for the past decade, which includes having unfunded federal mandates shoved down our throats," she said. "The polls demonstrate that dissent loud and clear.”