The Labour leader said no decision had been taken on whether she would be allowed to defend her seat.
Ms Abbott, who in 1987 became the first black woman elected to Parliament, said she was "very dismayed" at suggestions she would be barred from standing.
She had the Labour whip suspended in April 2023 pending an investigation after she suggested Jewish, Irish and Traveller people experience prejudice, but not racism.
The whip was restored on Tuesday, but Ms Abbott appeared to believe she had been barred from standing in Hackney North and Stoke Newington on July 4.
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