Thirteen lawmakers have left since 2017 because of his handling of the issue, according to British daily The Times.
Corbyn has rejected the accusations.
Britain's chief rabbi last month said that Corbyn was "unfit for high office" because of his handling of anti-Semitism within Labour.
A March survey commissioned by a British-Jewish advocacy group found that 87 per cent of British Jews considered Corbyn to be anti-Semitic, with nearly half considering emigration if he wins.
Brits will go to the polls for a snap general election on December 12 after parliament refused to rush through the Brexit divorce deal Prime Minister Boris Johnson negotiated with the European Union.
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