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."
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A rollercoaster has come off the rails at a theme park in Scotland, leaving eight children and two adults in hospital.
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The House of Commons Petitions Committee has said they will keep an eye on the petition and are concerned about fraudulent signatures.