She also revealed that she did not know why Derby North MP Chris Williamson had been allowed to remain in the party.
Mr Williamson – who was suspended after saying the party had been too apologetic on antisemitism claims, briefly readmitted with a reprimand and then re-suspended after an outcry from MPs – is due to face a fresh disciplinary hearing this week.
The party is also likely to come under new scrutiny over its handling of antisemitism cases when an hour-long Panorama special airs on BBC TV later this week.
Ms Long-Bailey, the MP for Salford and Eccles, told Radio 4 that while there had been “vast reforms” in the party’s disciplinary processes, “we do need to make them more robust”.