Biden, with whom Harris clashed during a Democratic debate earlier this year, praised her after a campaign event in Ames, Iowa.
“Senator Harris has the capacity to be anything she wants to be,” Biden told reporters, according to a video posted by CBS News. “I talked to her yesterday. She’s solid. She can be the president one day herself. She can be the vice president. She can go on to be a Supreme Court justice.”
Biden and Harris had a contentious exchange over forced busing in public schools in the first Democratic debate in Miami in June. It was a standout moment for Harris, who saw her fortunes briefly rise in her party's contest for the right to challenge Republican President Donald Trump in next year's election.
But any rift appears to have been closed. Biden praised Harris effusively on Tuesday after she dropped out. Harris was close friends with Biden's son Beau, before he died of brain cancer in 2015.
Biden told reporters on Wednesday that “of course I would” consider Harris to be his running mate.
Earlier this year, Harris, 55, was viewed as a prime contender in the crowded Democratic presidential field. But organizational and financial woes, along with her struggles to make a compelling case for her candidacy, derailed her campaign.
The U.S. senator from California could potentially bring much to a ticket. A former prosecutor, state attorney general and only the second black woman elected to the Senate, she is still considered a rising star within the party.
After Harris' exit, 15 Democrats are left to battle for the party's nomination.