"Immigration has benefited Scotland in the past because it has been managed and limited, and therefore has had economic benefits. But thanks to the EU immigration can no longer be managed or limited and there is a huge risk that local services will simply be overwhelmed," Tom Harris said.
According to Harris, this issue is not "about race or xenophobia."
"It’s simply about whether the public believe that the government will provide the extra homes, school places and local services we will need if, as the Treasury has predicted, we will have three million new citizens from the EU living here by 2030," the former Labour Party lawmaker said.
UK citizens are set to vote on June 23 in a referendum on the country's EU membership, after UK Prime Minister David Cameron and the leaders of the 27 other EU member states reached a deal in February to grant the United Kingdom a special status within the bloc.
Currently, Europe is struggling to manage its biggest migration crisis since World War II. Cameron has stated that the country would accept 20,000 refugees from Syria by 2020.