Hillary Clinton's campaign is considering making Elizabeth Warren her running mate but has ruled out Bernie Sanders, the Wall Street Journal reports.

LIVE on CBSN tonight: 8:30 p.m. Bernie Sanders addresses supporters

Other senators being considered for the role include Tim Kaine of Virginia, Sherrod Brown of Ohio, and Cory Booker of New Jersey. Los Angeles mayor Eric Garcetti, Housing and Urban Development secretary Julian Castro, and Reps. Xavier Becerra and Tim Ryan are also being looked at, according to the Journal.

Sanders and Warren both hail from the more progressive wing of the Democratic party and are closely aligned on many issues. A Sanders advisor told the paper that the Vermont senator is not particularly interested in the job. Still, many of his supporters had hoped that he would be considered for the job.

The Sanders and Clinton camps are currently in discussions to help unify the party in advance of next month's Democratic convention. Sanders wants the party's platform to be more progressive and various changes to nominating rules.

Warren, meanwhile, has impressed the Clinton campaign with her attacks on presumptive Republican nominee Donald Trump.

Get Breaking News Delivered to Your Inbox

Clinton has said that the main criteria for a running mate is for them to be able to become president. Advisors say she is not particularly interested in geographic or demographic factors, and that she feels she's embraced enough progressive positions that she doesn't necessarily need to choose someone from the left wing of her party.