Mr Corbyn is alleged to have responded: "I'm sorry you feel like that."
The confrontation was initially reported by HuffPost, which alleged she used the words "f***ing antisemite". The JC understands Dame Margaret has denied swearing.

A second source - another Labour MP - then confirmed to the JC that reports of the bust-up were "totally true."
The confrontation happened away from cameras that record parliamentary proceedings.
A party source told HuffPost: “She was aggressive, Jeremy was calm. Other MPs who were there were upset by it."
Sources say Mr Corbyn is now likely suggest a meeting with Dame Margaret to clear the air - although she is likely to be referred to Party whips for misconduct charges.
Dame Margaret is a former chair of the Public Accounts Committee, and has long criticised Mr Corbyn’s leadership.
She was one of the MPs who triggered a vote of no confidence in him in 2016, triggering a second leadership election.
The MP for Barking described earlier this year how she had joined the Labour Party in the 1960s because it was a party that stood up for minorities and against racism.
“I never ever thought I would experience significant antisemitism as a member of the Labour party,” she said.
“I have, and it has left me feeling an outsider in the party of which I’ve been a member for over 50 years… I have never felt as nervous and frightened as I feel today about being a Jew.
“It feels that my party has given permission for antisemitism to go unchallenged. Antisemitism is making me an outsider in my Labour Party.”