Freshman Rep. Ben Quayle (R-Ariz.) said he won't enter the race to succeed Sen. Jon Kyl (R) but will consider endorsing one of the contenders.

Kyl announced last week that he won't seek reelection in 2012. Rep. Jeff Flake (R-Ariz.) became the first candidate to officially enter the race on Monday. Observers believe other members of the delegation could enter the fray but Quayle said he had no plans to join in.

"I'm not going to be running," said the Republican. "I'm going to fulfill my commitments I made to the people in the 3rd congressional district."

Quayle said that he and Flake have spoken "very generally" about the race, but not specifically talked about an endorsement.

"We haven't talked very much about it," he said. "It's going to be an interesting race, that's for sure."

Quayle is waiting to see how the race plays out before endorsing.

"Jeff's been a great congressman and served the state of Arizona very well so I'll see what happens down the road," Quayle said . "I wish him luck."

Meanwhile, Maricopa Sheriff Joe Arpaio told The Hill he's considering a Senate run after a recent poll showed him leading the GOP field.

Quayle said the sheriff is widely known around the state, but questioned whether Arpaio has the desire to run for statewide office.

"He has a lot of name recognition. He is popular in certain parts of the state," said Quayle. "He would be formidable. I just don't know if he's going to do it."