Public Policy Polling interviewed 500 Texas voters from Saturday until Monday.

They found that 43 percent of people surveyed support Republican Governor Rick Perry, while 43 percent back Democratic challenger Bill White. The margin of error is just over 4 percent.

Public Policy Polling's last poll was done four months ago. It showed Perry with a 48 to 42 lead.

The group said White has since reversed a trend among independent voters. And according to the poll results, White is drawing more crossover voters. White received 15 percent of Texas Republicans to Perry's 10 percent of Democrats.

Click here for extended analysis from the group's blog:
PPP Blog post

But some political analysts say the neck and neck numbers from this latest poll don't reflect the race.

Henson also helps conduct the UT/Texas Tribune polls.

Their latest gubernatorial poll showed Perry with a nine-point lead over White at 44 to 35 percent.

It was done with 800 registered voters and conducted May 14 through May 20. The margin of error was +/-3.46 percent.

Henson said Public Policy Polling also had U.S. Senator Kay Bailey Hutchison leading Perry by 25 points back in February of 2009.

The latest Perry/White PPP numbers are a pretty big jump in a couple of weeks without any big element from either candidate to trigger such a change, Henson added.

"It feels like the race has maybe tightened a bit. But a straightforward tie seems a little weird to me when I look at those numbers," he said. "It seems there's a low number of independents among the cross tabs."

The latest Rasmussen Poll had Perry leading White 48 to 40. That poll was conducted June 16 with 500 likely voters in Texas. The margin of sampling error was +/-4.5 percentage points.

A month ago, Rasmussen had Perry past the 50 percent mark for the first time in the race against White. Those numbers were 51 percent to 38 percent.