Barton said the open Senate seat is naturally a draw for most members of the delegation, but said the reality is that a House seat in Texas isn't the easiest launching pad for a Senate bid. 

"We have 32 congressional districts in Texas, so anyone who has already run statewide has a built-in advantage," he said. "Now, if you're from one of the major metropolitan areas and have pretty good name id, which I do, it's a little easier. But it's still tough." 

Barton made national headlines last year after he apologized to BP CEO Tony Hayward in the midst of the Gulf oil spill for what he called a "shakedown" on the part of Obama administration. Barton later retracted his apology. 

The Republican field in the open seat Senate contest is already a crowded one. Railroad Commissioner Michael Williams resigned his seat on the commission this week to concentrate on a Senate run and former Solicitor General Ted CruzRafael (Ted) Edward CruzThe Memo: Trump leaves chaos in his wake in UK Beto O'Rourke is dominating Ted Cruz in enthusiasm and fundraising — but he's still headed for defeat GOP senators introduce resolution endorsing ICE MORE, former Secretary of State Roger WilliamsJohn (Roger) Roger WilliamsFive GOP lawmakers mulling bid to lead conservative caucus Lawmakers demand answers from Mnuchin on Trump tariffs Family connection is crucial to America's immigration system MORE and Railroad Commissioner Elizabeth Ames Jones are also all officially in the race. 

Sen. Jim DeMint (R-S.C.) served notice last week that he would likely wade into the primary by making an endorsement. In an email to supporters of his Senate Conservatives Fund, DeMint talked up Michael Williams and Ted Cruz and took an early shot at Dewhurst, labeling him the "establishment" candidate. 

Barton said it was a label that doesn't fit Dewhurst and one that he's confident won't stick if the Lt. Gov. enters the race. 

"I don't know anyone that's saying that," Barton said. "David's a good man and he's a strong conservative."