Former Vice President Joe Biden Joe BidenOmar fires back at Trump over rally remarks: 'This is my country' Trump mocks Biden appearance, mask use ahead of first debate Trump attacks Omar for criticizing US: 'How did you do where you came from?' MORE said on Wednesday that he hopes to have potential running mates vetted by July, a sign that a final selection may not come until later in the summer.

Speaking to donors at a virtual fundraising event, the presumptive Democratic presidential nominee said he plans to announce a vice presidential selection committee “very shortly” that will begin the process of screening prospective running mates.

“God willing, we will have that vetting done by July and I'll be narrowing down who it is that I would ask to be my vice presidential running mate,” Biden said, according to a pool report.

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Biden vowed at the last Democratic primary debate in March to choose a woman as his running mate should he win the party’s presidential nod. He all but shored up the nomination after his last remaining rival, Sen. Bernie Sanders Bernie SandersButtigieg stands in as Pence for Harris's debate practice Bernie Sanders warns of 'nightmare scenario' if Trump refuses election results Harris joins women's voter mobilization event also featuring Pelosi, Gloria Steinem, Jane Fonda MORE (I-Vt.), suspended his campaign earlier this month.

Biden has said he’s considering a list of somewhere between six and 10 candidates. Among those who have received attention as potential running mates are Sens. Kamala Harris Kamala HarrisButtigieg stands in as Pence for Harris's debate practice First presidential debate to cover coronavirus, Supreme Court Harris joins women's voter mobilization event also featuring Pelosi, Gloria Steinem, Jane Fonda MORE (D-Calif.) and Elizabeth Warren Elizabeth WarrenHarris joins women's voter mobilization event also featuring Pelosi, Gloria Steinem, Jane Fonda Judd Gregg: The Kamala threat — the Californiaization of America GOP set to release controversial Biden report MORE (D-Mass.), Michigan Gov. Gretchen Whitmer, and former Georgia gubernatorial candidate Stacey Abrams.

Biden reiterated on Wednesday that he will choose a woman for the slot, saying that “there are a lot of women out there with the experience to do that job.” But he also noted that whomever he picks must be “simpatico” with him.

The former vice president also repeated a past pledge to appoint a black woman to the Supreme Court if he’s given the chance to fill a vacant seat.

Biden also raised the possibility of appointing a bipartisan Cabinet if elected president in November, noting that he does not have “any limitation on if someone were a Republican if they’re the best-qualified person to” fill a role in his administration.

“This country is fully committed ... to making sure I appoint smart, courageous people of both parties eager to serve something bigger than themselves,” he said.