Lord Mann made his observations during an online discussion with the Antisemitism Policy Trust’s director Danny Stone.
He added: “If he does that, it gives him the tools to clear out those who choose to be antisemitic, rather than those who do so purely through their ignorance as opposed to their calculated behaviour.’’
The former Labour MP for Bassetlaw – now a non-affiliated Life peer – said Sir Keir must also work closely with the Jewish Labour Movement which he said “helped form the Labour Party” and Jewish members who had chosen to continue to stay in party.
Lord Mann added he was “actually very encouraged by the start” Sir Keir has made on the issue. He added: “I think he is seeing tackling antisemitism as one of those things that will be shown to mark that he is a leader.
‘’If that’s the case then all power to his elbow – go and do it and he’ll have my backing if he does.’’
Lord Mann resigned his Commons seat last October, blasting Jeremy Corbyn over his failure on antisemitism, but has maintained his membership of the Labour Party.
He was appointed into his new role by former Prime Minister Theresa May, and has been vocal in his support of the community in the face of rising antisemitism from both the far right and far left.