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 on Thursday announced four co-chairs of a running mate selection committee, naming former Sen. Chris Dodd (D-Conn.), Rep. Lisa Blunt Rochester (D-Del.), Los Angeles Mayor Eric Garcetti Eric GarcettiJennifer Aniston, Brad Pitt join celebrity table read of 'Fast Times at Ridgemont High' for coronavirus relief LA mayor condemns protesters shouting 'death to police' outside hospital treating ambushed officers Garcetti: I would have acted sooner if Trump hadn't downplayed virus MORE and longtime adviser Cynthia Hogan to lead the effort.

The co-chairs will be responsible for coordinating the vice presidential search across the Democratic Party, as well as with vetting teams led by former White House counsel Bob Bauer, campaign general counsel Dana Remus and former Homeland Security adviser Lisa Monaco.

“Selecting a vice presidential candidate is one of the most important decisions in a presidential campaign, and no one knows this more than Joe Biden,” Biden’s campaign manager Jen O’Malley Dillon said in a statement.

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“These four co-chairs reflect the strength and diversity of our party, and will provide tremendous insight and expertise to what will be a rigorous selection and vetting process," she added. "We are grateful for their service to the campaign and for their leadership.”

The announcement of the committee co-chairs marks the formal start of Biden’s running mate selection process.

The presumptive Democratic presidential nominee told donors during a virtual fundraising event on Wednesday that he expects the vice presidential vetting process to finish up by July, and that he will likely make his choice after that.

Biden has already pledged to choose a woman as his running mate, but has offered few hints as to whom exactly he’s considering.

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.

Still, Biden has indicated that he wants to choose a running mate who is “simpatico” with him, saying earlier this year that the two “could disagree on tactics, but strategically we’d have to be on the exact same page.”