Story highlights Bernie Sanders floated Elizabeth Warren's name as a possible running mate

Sanders said he would also be open to choosing other women for vice president

(CNN) Democratic presidential candidate Bernie Sanders alluded to possible vice presidential picks Tuesday, even floating liberal darling Massachusetts Sen. Elizabeth Warren as a potential running mate.

Sanders, asked on MSNBC's "Morning Joe" if he would be open to naming a female vice presidential candidate, said it would be "speculating" to wade into such discussion. But he added he would, indeed, be open to naming a woman to share his ticket.

"I'm not going to commit ... you have to look at the best candidates you can," he said. "But I think, as you know, there are people in life today, Elizabeth Warren, I think, has been a real champion in standing up for working families, taking on Wall Street."

Both Warren -- who has not endorsed anyone yet -- and Sanders have advocated throughout their careers for greater government regulation of Wall Street and the financial markets and the elimination of corporate influence on elections via money in politics.

"There are other fantastic women who have been active in all kinds of fights who I think would make great vice presidential candidates," he added.