The BBC has been informed that there will be a concerted push for Labor to adopt an independent process for dealing with complaints about anti-Semitism.
One group will make the demand at the regular meeting of MPs on Monday.
However, political correspondent Iain Watson said that this will also be crucial at the next meeting of the ruling national executive of Labor later this month.
Emily Thornberry said that Labor must "pay attention to the message of anti-Semitism and not attack the" messengers ".
The Shadow Foreign Minister told BBC chief Andrew Marr, "Nobody can pretend that there is no ongoing problem" within the party and "our processes for dealing with it".
The work has been involved in a long-running dispute over anti-Semitism in its ranks, which has led nine MPs and left three colleagues.
Last week, Panorama claims by a number of former Party officials revealed that some of Jeremy Corbyn's closest allies had attempted to intervene in disciplinary proceedings on charges of anti-Semitism.
The Labor Labor Team is supposed to act independently of the party's political structures, including the Fiihrer's office.
The party insisted that the allegations are inaccurate and were set up by "dissatisfied" former employees.
On Sunday, Jewish Labor MEP Dame Margaret Hodge told Sky News that the party was at a "turning point" and that it was "unbearable and unacceptable" for the leadership to attack those who Attacking went with concerns to the public.
"If the leadership does not start listening now, there will be many more people who feel so uncomfortable in the Labor Party that they can not stay longer," she said.
Dame Margaret Labor urgently needs to "introduce a fully independent grievance mechanism, as it is clear that the current mechanism has been abused and abused by political influence."
This demand was confirmed by the Tribune Group of Labor MEPs located in the center of the party and includes former Frontbencher.
They called on the National Executive Committee (NEC) to initiate an independent investigation of Panorama's allegations and establish an "Independent Appeals Procedure with Representatives" The statement of the Jewish community, completely independent of the leadership of the Labor Party. "
According to Iain Watson of the BBC, the escalation of these demands on the NEC is important as the ruling corporation has the power to change the system. [1
Earlier, Ms. Thornberry said she had found the Panorama episode "terrible" – both the program itself and "especially the revelations." She said that she understands that the party has concerns over the conduct of the investigation, but "the message … is what matters."
Equality and Human Rights Commission (EHRC) conducted a formal investigation into whether Labor "unlawfully discriminated, harassed or harassed people because they are Jews."
Ms. Thornberry said it was "a shame and a shame". that the EHRC was brought in "but they have and we should welcome it".
She said the party must initiate a grievance procedure "that is tough and works and is an example of good practice," and should ask the commission, "Can you help us?"
Shadow Chancellor John McDonnell told BBC Radio 4 "The World This Weekend" that things are improving.
"I think we are actually settling this, I think we have a new Secretary General We have now introduced a system," he said.
"There are always lessons to be learned, but I think the way Jennie Formby, our secretary-general, has implemented the measures, is getting better and better."
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Labor dismissed allegations of interventions in its disciplinary procedures and described the Panorama program as "seriously inaccurate" and "politically biased
A statement said, "Since Jennie Formby became general secretary, the rate at which anti-Semitism cases were treated has more than quadrupled.
"We are being made on the improvements of our procedures under Jennie Formby, and continue to act against this obnoxious form of racism."