Arizona's Hispanic population has increased significantly over the last decade, and Democrats tended to have more success than Republicans in 2010 in attracting the support of Hispanic voters. Overall, the state still leans Republican.
"Remember, McCain is not on the ballot this time against President Obama; and the changing demographics of that state. That's why I put it on my 'six' list."
As Giffords continues her recovery, her future plans remain uncertain. The only declared candidate in either party in the Arizona Senate race is Rep. Jeff Flake (R-Ariz.).
Murray also weighed in on the recent controversy surrounding Sen. Claire McCaskill (D-Mo.) private plane travel, defending the way her Senate colleague from the Show-Me state handled the situation.
"I don't see damage with it, I really don't," said Murray. "And why? Because she McCaskill-ed it. She didn't change herself or do anything. She went after it, she said, you know, I'm going to be honest and straightforward. She asked for the investigation; she did what she needed to do."