Wednesday’s announcement effectively set the stop clock for McCarthy, and the source said there is a recognition that it will be important to have GOP members in place for that first hearing.
Meanwhile, Democratic sources previously told CNN their strategy is to avoid turning the committee’s efforts into a spectacle and keep most work for the committee behind closed doors.
“It’s very important that we have members who are committed to upholding the rule of law and members who are committed to their oaths to the Constitution,” Cheney said to CNN. “And I would certainly hope that the minority leader will be guided by that as he makes his choices.”
This story has been updated with additional developments Wednesday.
CNN’s Jeremy Herb and Ryan Nobles have contributed to this report.