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In an interview of Elle magazine Stacey Abrams said she would be an "excellent running mate."
"If I am selected, I am prepared and excited to serve."
Business Insider says Former Vice President Joe Biden is now the presumptive Democratic Party's nominee.
In March Biden said he would choose a woman as his running mate.
Abrams became the first Black woman to be nominated for a state governorship by a major party when she ran for Georgia governor in 2018.