"It's hard to know what the issues are going to be in 2012," Cornyn, who heads the National Republican Senatorial Committee, told The Ballot Box. "But I dare say taxes and spending will always be an issue."
The compromise extends all the current Bush-era tax rates for two years. Cornyn called the deal "genuinely a bipartisan proposal."
"I hope it's the start of a new trend," he said.
Cornyn used a more partisan tone in a fundraising e-mail Tuesday.
"President Obama's decision yesterday to join with Republicans in opposing the largest tax increase in American history was made not because he had a sudden change in political or economic philosophy," the senator wrote to supporters of the NRSC.