Republicans are pressing Rep. Paul Ryan, R-Wisc., to step up and run for the House Speaker position to replace Rep. John Boehner, R-Ohio, following Majority Leader Kevin McCarthy's, R-Calif., shocking decision to quit his campaign run for the post.

House of Representatives Speaker Boehner announced on Sept. 25 that he plans to resign from Congress and relinquish his speakership position. Shortly thereafter, McCarthy launched a campaign to become Speaker of the House. However, on Thursday, he abruptly dropped out of the race.

Now, leaders and members of the Republican Party are urging Ryan, the GOP vice presidential nominee in 2012, to run for the position. Purportedly, the Wisconsin lawmaker is influential and well-respected throughout the GOP caucus, and could act as a peacemaker between moderate and far right conservatives.

"I've talked with Paul Ryan. He's talking to people. I think he'd make a great speaker," McCarthy said Friday morning, according to ABC News. "It's a big decision. He's got to talk to his wife and everybody else, and it's got to be his decision."

However, Ryan has insisted he's not interested in the post and would rather focus on chairing the House Ways and Means Committee. Plus, becoming the House Speaker could potentially ruin his presidential aspirations.

On the other hand, the 45-year-old official appeared to be warming up to the idea, since he did not rule out a run while speaking to reporters Thursday night. Instead, he repeated that he has "nothing new to say."

Along with Boehner, other GOP leaders, including Deputy Majority Whip Tom Cole and Rep. Devin Nunes, are also encouraging Ryan to take on the role.

"Nobody cares more about this institution and this conference than John Boehner does, and I suspect he knows better than any of the rest of us, the best choice is Paul Ryan, so I'm sure he would be doing whatever he can, but he has not told me he's doing that," Cole said, reports CNN. "But look, they're pretty close."

Cole added Friday morning that he thinks Ryan will eventually change his mind.

"In this case it's hard not to step up when there's an overwhelming demand," Cole said on MSNBC's "Morning Joe." "Paul's got a strong sense of doing the right thing. I'm just so confident he'll make the right choice."

Likewise, Republican Rep. Lynn Westmoreland said that Ryan is the clear first choice for the job. "I think he's the only guy who can unite us right now," he said.