Alp Mehmet from Migration Watch has told Daybreak that immigration is "an issue that we've got to look at."
The Labour party has vowed to reposition itself on immigration laws, with Shadow Home Secretary Yvette Cooper promising stronger checks on visas and "faster, stronger" immigration enforcement.
Mr Mehmet said immigration has an impact on schooling, housing and transport.
He added "I'm glad that the Labour party is now saying we've got to lower it."
More top news
Police say it is "too early" to know if the body is that of journalist Kim Wall, who is believed to have died on board an amateur submarine.
'I'm not a fan of the new pound coin, but then again, I hate all change'
In a policy speech on Afghanistan, Donald Trump has performed the greatest reversal so far of his young and wild Presidency.