The group will also march toward Parliament Square - only a few hundred metres from the Unite the Kingdom rally. Speeches are expected by MPs Diane Abbott and Zarah Sultana.
Ahead of the march, the Met confirmed it would not be using live facial recognition - which captures people's faces in real-time CCTV cameras - in its policing of the Unite the Kingdom march.
It also said there were"particular concerns" among some in London's Muslim communities ahead of Robinson's protest, citing a"record of anti-Muslim rhetoric and incidents of offensive chanting by a minority at previous marches".
Cdr Clair Haynes urged Muslim Londoners not to change their plans or avoid central London, but to approach a police officer should they feel concerned while out in public.
She said:"Officers will take a firm line on behaviour that is discriminatory or that crosses the line from protest into hate crime."
She added that police would act "without fear or favour" and asked demonstrators to "be considerate of the communities they are passing through".
The Met said that it had ordered the Unite the Kingdom rally to end by 18:00 and the counter protest to end by 16:00, in line with when the organisers told the force they expected speeches to end.