Washington (CNN) – Outspoken Republican National Committee Chairman Michael Steele may be able to rest easy. Liz Cheney, daughter of former Vice President and an often outspoken conservative in her own right, said Sunday that she did not want to be endorsed for a bid to be the next RNC chair and Cheney defended Steele amid renewed concerns about his stewardship of the GOP's national committee.
"Liz, are you looking for a job?," Democratic strategist Donna Brazile teased Sunday when the two women were asked about Steele Sunday on CNN's State of the Union.
"Thanks," Cheney responded, "Donna, please don't endorse me for that."
"Go head, girl. Go head. Go head, girl. Go head." Brazile, a member of the Democratic National Committee, joked as she playfully nudged Cheney who was sitting right next to Brazile.
On a more serious note, Cheney, who served in George W. Bush's State Department and is now chair of KeepAmericaSafe.com, said Sunday that recent concerns expressed about Steele from within Republican ranks would ultimately end up mattering very little as the November midterm elections approach.
"I think he's making a lot of really important points," Cheney told CNN Chief National Correspondent John King about Steele.
"For voters out there sitting around their kitchen tables, they could care about these debates going on in Washington – who's running the Republican Party and who's not," Cheney said. "They want to know who's going to make sure that they've got jobs, who's going to cut taxes, who's going to keep the country safe. And I think those are the issues that will ultimately decide the outcome of these races."
In a number of media appearances intended to promote his new book in the last week, Steele stoked concern among some GOP Capitol Hill staffers, some RNC members and some Republican strategists who are worried Steele's criticism of past Republican missteps might be overshadowing positive news for the GOP as the party tries to build momentum heading into November.