The BBC initially declined to comment, but has now released a statement after receiving complaints from viewers that the remark was “unacceptable”.
Last Friday’s episode of the show (20 November) featured comedian Fin Taylor, who made a joke about his hatred of the former Labour leader.
Corbyn appeared at Glastonbury Festival in 2017, delivering a keynote speech that was attended by tens of thousands of people.
“I only hate Corbyn so much because of his fans,” he said, adding: “People who like Corbyn – what, it’s 200,000 people in the Labour party that are fanatics?