The party’s internal investigations unit is being operated by a single person leaving the damning inquiry in chaos despite Mr Corbyn vowing to speed up Labour’s disciplinary process.
Up to three staff members in the party’s compliance unit left meaning the mounting number of complaints may have little chance of being looked into promptly, according to the Times.
A Labour spokesman said: “We have robust processes for dealing with complaints we receive.
“We don’t comment on staffing matters.”
The news comes after Jewish Labour MP Luciana Berger said she felt “unwelcome” in her own party after Mr Corbyn accused British Zionists of having “no sense of irony” despite having “lived in Britain all of their lives”.
Ms Berger branded Mr Corbyn’s comments, which were unearthed from footage in 2013, “inexcusable”.
This morning, campaigners demanded Mr Corbyn step down as leader of the Labour party in an online petition named ‘For The Many, Not The Jew’.
It was posted on Change.org by Campaign Against Anti-semitism and has already garnered more than 12,000 signatures.
The petition reads: “Throughout the last three years and these past few weeks, Jeremy Corbyn has lied, distracted, tried to twist the definition of antisemitism to exclude his past conduct, and issued false apologies when pressure mounted.
“He has claimed to have been seeking peace and to have been judged out of context, but the facts show that over many years he sought to defend, honour, assist and promote antisemites and the context is that his actions have been consistent with those of an ideological antisemite.”
It adds: “We had hoped that the Labour Party might at some point rise to the defence of British Jews by removing Jeremy Corbyn or by demanding his resignation, but the institutions of the once proudly anti-racist Labour Party are now corrupted and will not act.”
Referring to his 2013 remarks on Friday, Mr Corbyn said: “I described those pro-Israel activists as Zionists, in the accurate political sense and not as a euphemism for Jewish people – and that is made clear in the rest of my speech that day.
“I am now more careful with how I might use the term ‘Zionist’ because a once self-identifying political term has been increasingly hijacked by anti-Semites as code for Jews.”