Sen. John Cornyn (R-Texas) said he liked the idea of New Jersey Gov. Chris Christie (R) or House Budget Committee Chairman Paul Ryan (R-Wis.) running for president.

Cornyn said he liked the idea of a Ryan presidential run in particular.

"I like a lot of the names that have been mentioned — Chris Christie, Paul Ryan," Cornyn said Thursday on Laura Ingraham's radio show. "I tried to get [Ryan] to run for the Senate, actually, not president, but he's one of our stars. He'd be great."

Over the past few days speculation has surfaced that Christie or Ryan could jump into the presidential race. Republican strategist Karl Rove said there was a possibility either or both Christie and Ryan (who both have said they won't jump into the 2012 presidential race) might reconsider. The conservative Weekly Standard magazine also reported that Ryan was "strongly considering" running for president.

Despite the Weekly Standard report and Rove's comments, both Christie's and Ryan's offices said they are not interested in running for president.

In the same interview, Cornyn was asked about Texas Gov. Rick Perry's (R) presidential campaign and critical comments former Bush administration officials have thrown at Perry. Cornyn said he didn't want to weigh in on the "skirmish."

"The point is we're going to have these primary fights and they're kind of messy but they're part of the process where we choose our leaders," Cornyn said.

Cornyn also said that Perry was entitled to a great deal of (but not total) credit for recent accomplishments in Texas. He did not say what in particular Perry deserved partial or total credit for.

"He's entitled to some credit, but not alone," Cornyn said. "The governor's entitled to a lot of credit and he's going to be a contender in this primary."