'And June should be a month of action on Capitol Hill, ' the president said, before laying out his political reality.
"We're not giving up", Biden said about the bill, S.1.
"I'm going to fight like heck with every tool at my disposal for its passage", Biden said.
One option for Democrats would be to ram the bill through on a partisan vote by further rolling back one of the foundations of Senate tradition: the filibuster. Some states have moved to restrict Sunday voting hours; advocates say that's when many Black churchgoers head to the polls after services.
As many as 300 Black Tulsans were killed, and thousands of survivors were forced for a time into internment camps overseen by the National Guard.
On Tuesday, just six days out from her first worldwide trip as vice president, Biden made news when he said he was assigning her voting issues.
"We can't just choose what we want to know, and not what we should know", Biden said.
That job, like the voting rights task, is especially hard.
President Biden says the "incredible intensity" of focus behind recent Republican state voting laws is an "unprecedented assault" on U.S. democracy, rallying voting rights groups to redouble their efforts to register voters and urging the U.S. Senate to pass new legislation.
Biden told the crowd that he saw the protection of voting rights as one of the most fundamental - and most endangered - pathways to ensure racial equity.
The New York Democrat voiced her support for getting rid of the 60-vote threshold in response to a tweet from President Biden on Wednesday. Joe Manchin III of West Virginia, remains opposed to the idea, potentially scuttling it.
Rep. Alexandria Ocasio-Cortez on Wednesday re-upped her calls for the Senate to eliminate the legislative filibuster so Democrats can pass sweeping reforms while in control of Congress and the White House. While Sinema is a sponsor of the voting rights bill that passed the House, known as the For the People Act, Manchin has refused to sign on, calling the measure "too broad". A bill passed the House of Representatives, but it has stalled in the Senate, where Democrats would need the support of at least 10 Republicans. Biden himself has not said he wants to end the filibuster.
In Tulsa, Biden seemed to express open frustration at the odds facing the bill - and at the Democratic lawmakers who may stand in the way of its success.
President Joe Biden is giving Vice President Kamala Harris another job, with the White House announcing Wednesday she'll lead a vaccine tour as the administration aims to get at least one shot in the arms of 70 per cent of USA adults by July 4.
There, Harris was asked about another aspect of her growing portfolio - her upcoming trip to Guatemala, as Biden tasked her to be the point person with the Northern Triangle countries and deal with the "root" causes of migration.
'In the days and weeks ahead, I will engage the American people, and I will work with voting rights organizations, community organizations, and the private sector to help strengthen and uplift efforts on voting rights nationwide, ' Harris continued.
The president was more specific about where Harris would travel and said she would be joined by additional surrogates.