Republicans expect a battle between McCarthy and Majority Whip Steve Scalise for the speaker's role.
He added, "Well our leadership team, I'm saying". Scalise's spokesman said in a statement that if and when McCarthy declares his bid for the speaker's post, Scalise will back him.
But Representative Jim Jordan of OH, a founding member of the House Freedom Caucus and a leading congressional critic of the Justice Department's and FBI's handling of the Russia-Trump investigation, said Friday he is considering a bid for a leadership post.
Scalise also told Fox News on Thursday that he does not plan to run against McCarthy.
Ryan told NBC he believed having McCarthy step in would work toward a more smooth transition in House leadership.
The Majority Leader jockeyed to replace former Speaker John Boehner (R-OH) in 2015 but abruptly bowed out of the race, citing a potential lack of support from the party at the time, particularly from the conservative Freedom Caucus.
Ryan has pledged to remain Speaker until the conclusion of the 115th Congress next January.
"Whip Scalise's focus remains on moving our conservative agenda forward and maintaining our Republican majority", said Chris Bond, a spokesman for the Louisiana Republican.
"Given the extraordinary fracture that exists in the Republican caucus between the more normal Republicans and the Freedom Caucus, it's almost an impossible task", Gramendi told Cheddar Friday. For another, Republicans may be jockeying to become the next minority leader, since Democrats now hold a significant polling advantage on generic congressional ballots.
By advancing their own candidate, the conservatives may not be counting on winning, but that they would certainly influence the outcome of the race, several members said. He was the Republican Party nominee for Vice President in 2012.
"Steve is the more low-key guy, Kevin is more the big handshake, but they're equally popular", said Rep. Peter King, R-N.Y.