Both Cornyn and Sessions have expressed a desire to work together whenever possible this cycle, hoping to reclaim control of the House and Senate or at least rebuild a minority that was further depleted in 2008.
According to one senior Republican Senate aide, Cornyn would be better served from a public relations standpoint to highlight where the two GOP campaign committee chiefs are cooperating, rather than where they are competing. However, this GOP aide conceded that Cornyn may have success using this tactic to recruit and raise money.
The reality is, each Senator has a bigger megaphone and more of an ability to impact what goes on in Washington, this aide said. That being said, I dont know that it is wise to throw the House under the bus, and do so in a way that could become public, to win an argument.