Rep. Alexandria Ocasio-Cortez, D-N.Y., floated a possible "coalition government" in the House of Representatives on Tuesday after Republicans failed to elect a new speaker of the House. 

Ocasio-Cortez, a far-left progressive, raised the possibility that Republican leader Rep. Kevin McCarthy of California may have to enter into negotiations with Democrats after he failed to win the majority vote needed to become speaker. 

"I do not believe that Kevin McCarthy has the votes. I believe that a lot of the opposition to him is very personal. I believe his leadership style is incompatible with a lot of Republican members and certainly the Democratic Caucus." Ocasio-Cortez said Tuesday night on MSNBC. 

"So the question is, is there anyone in their caucus that can build that consensus? If there isn't, McCarthy's team may have to come to the Democratic Party. And, if that's the case, then what would that even look like? It's rather unprecedented. Could it result in a potential coalition government?" Ocasio-Cortez asked.

THE VOTE FOR HOUSE SPEAKER: LIVE UPDATES

Congresswoman Alexandria Ocasio-Cortez

Rep. Alexandria Ocasio-Cortez, D-N.Y., waits as the House of Representatives holds the election for Speaker of the House on the first day of the 118th Congress in the House Chamber of the U.S. Capitol Building in Washington, D.C., on Tuesday. (Win McNamee/Getty Images)

Republican leader Kevin McCarthy

Rep. Kevin McCarthy, R-Calif., sits in the House Chamber during the third round of votes for House Speaker on the opening day of the 118th Congress at the U.S. Capitol in Washington, D.C., on Tuesday. (Matt McClain/The Washington Post via Getty Images)

"Could we get Democratic chairs of committees as a result?" she wondered aloud. 

In her scenario, McCarthy would approach Democrats to gain the 20 or so votes he needs to become speaker. In return, Democrats would extract major concessions from him, likely ensuring that their members remain in charge of powerful and influential House committees. Ocasio-Cortez was clear this is unlikely to happen.

"I'm not saying necessarily that our party is signaling an openness just yet," she told MSNBC host Alex Wagner. "But, really, it's about the cards that are in McCarthy's hands. And if he chooses to approach the Democratic Caucus, then that would be a negotiation, in and of itself, for a potential coalition government. But, again, this is very much an unprecedented time."

MCCARTHY, GOP HOPE TO BREAK HOUSE SPEAKER LOGJAM AFTER WHIFFING ON TUESDAY

U.S. Rep. Scott Perry (R-PA) speaks to reporters following a meeting with House Republicans

Rep. Scott Perry, R-Pa., speaks to reporters following a meeting with House Republicans at the U.S. Capitol Building in Washington, D.C., on Tuesday. (Kevin Dietsch/Getty Images)

A group of 20 GOP hardliners refused to vote for McCarthy over three ballots Tuesday, and the House adjourned before Republicans consolidated support around one candidate for speaker. The holdouts say McCarthy has refused to make guarantees that he would change House rules to disempower the speaker's office and open legislation to amendments from rank-and-file members on the House floor. McCarthy's allies are accusing them of embarrassing the GOP over minor issues and shifting goalposts. 

The House will reconvene Wednesday for a second day of speakership elections. To move forward, McCarthy will have to make further concessions that would flip the 15 GOP votes he needs to become speaker or make a deal with Democrats, or another consensus speaker candidate will have to come forward. 

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"There is a very interesting quandary that Kevin McCarthy is in. He needs to get these votes somewhere if he wants to be speaker, and if he can't get those votes from the House Freedom Caucus, he's not going to become speaker. Unless, he approaches the Democratic Party in order to enter into some negotiation," Ocasio-Cortez reiterated to her Instagram followers Tuesday.

"If this goes on, and on, and on, and the Republican Party has no speaker nominee, something has got to give."