Less than a day after her endorsement of Clinton, Sen. Elizabeth Warren, D-Massachusetts, met privately with Hillary Clinton.

A Clinton campaign official told CBS News' Hannah Fraser-Chanpong that Clinton thanked Warren for her endorsement Thursday evening. The two also talked about working together over the course of the general election in order to advance a progressive agenda and stop Donald Trump.

The hour-long Friday morning meeting could be one sign that the presumptive Democratic nominee is considering Warren as a running mate in the general election.

Clinton said this week that she would be open to sharing the ticket with another woman.

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"I'm looking at the most qualified people and that includes women, of course, because I want to be sure that whoever I pick could be president immediately if something were to happen," Clinton told CNN in an interview, a day after she locked down the majority of pledged delegates in Tuesday's primary contests. "That's the most important qualification."

When Warren was asked on MSNBC Thursday night whether she felt she would be ready to take over as president and commander-in-chief should the need arise as vice president, the Massachusetts senator responded in the affirmative.

"I know you don't want the job, but do you believe you would be capable of stepping into that job and doing that job if you were ever called to do it?" MSNBC host Rachel Maddow asked.

"Yes, I do," Warren replied.

Warren's resume, with her history as a Harvard law professor and her reputation as a progressive icon, could be a unifying rallying point for the Democratic party, which has seen some division within its ranks with the candidacy of Bernie Sanders.

Warren has also become a vocal critic of Donald Trump, the Republican party's presumptive nominee, going on the attack Thursday and calling the billionaire a "nasty, thin-skinned fraud."

In a response on Twitter, Trump once again knocked her as "Pocahontas," a reference to a 2012 campaign gaffe of Warren's where she claimed she was part Cherokee without any proof, and declared that he "hope[s] she is V.P. choice."

Pocahontas is at it again! Goofy Elizabeth Warren, one of the least productive U.S. Senators, has a nasty mouth. Hope she is V.P. choice. — Donald J. Trump (@realDonaldTrump) June 10, 2016

Still, some Democrats worry that choosing Warren as vice president could put her Massachusetts Senate seat in jeopardy.

Democratic party leadership have already thought of a strategy in the case of Warren's elevated VP position, however. Last week, CBS News reported that Senate Minority Leader Harry Reid has identified a workaround in Massachusetts law that might prevent the state's Republican governor from appointing a temporary GOP replacement for Warren.

According to the Post, the Warren and Clinton have held several meetings over the last month, but the conversations have focused less on the details of Clinton's campaign than on broader issues.

The Clinton campaign and Warren's Senate office have not responded to a request for comment from CBS News.

CBS News' Steve Chaggaris and Hannah Fraser-Chanpong contributed to this report.