Jeremy Corbyn is in talks with a leading Jewish venue about plans to give a speech to address the growing antisemitism crisis in the Labour party.
The chief executive of the Jewish Museum described the situation as “delicate” and said she did not want to agree to anything that “will make things worse”.
Antisemitism campaigners said they would not be satisfied by "hollow promises delivered under duress".
The Labour leadership's reticence in adopting the International Holocaust Remembrance Alliance (IHRA) definition and its examples has become a flashpoint in the row over antisemitism in the party.
Mr Corbyn was forced to apologise earlier this week after it emerged he shared a platform with people who reportedly compared Israel to the Nazis.
Shadow chancellor John McDonnell has also faced questions over his backing of the creation of anti-Zionist group International Jewish Anti-Zionist Network (IJAN), which he supported in a 2008 Commons motion.
Abigail Morris, chief executive of the museum, told The Jewish Chronicle: "We are still trying to work out what [Mr Corbyn's office] is asking from us, whether it is a discussion, a statement or a speech.
"Things are very delicate at the moment. But the Jewish Museum is all about building bridges, and sometimes that's hard.
"We would want to be part of a healing process, not something that will make things worse.
"We are very proud of being a cross-communal space and we want to be a place where positive dialogue can take place."
Gideon Falter, chairman of Campaign Against Antisemitism, said: "There has been speculation that Jeremy Corbyn wishes to address the Jewish community.
"Some have suggested that he intends to adopt the International Definition of antisemitism.
"Under that definition, he is an antisemite, as the revelations this week have shown us.
"We have seen this act before, and we are insulted that he thinks we will be satisfied by hollow promises delivered under duress.
"No matter what action Mr Corbyn promises, his track record demonstrates that he is an antisemite and an existential threat to British Jews."
Agencies contributed to this report
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