Analysis of official statistics show that the country already has enough "settled" workers from Eastern Europe to fill low skilled jobs.
Further migration from the EU will not needed to maintain a level of migrant workers sufficient for the country's needs, the report concluded.
The analysis of the country's expected labour force requirements was published last night by the population think thank Migration Watch.
According to a report, British business will not suffer a shortage of labour after Brexit
It disputed the findings of recent reports from business leaders claiming that significant cuts in EU migration could damage the economy by creating labour shortages in some industries.
Migration Watch researchers based their conclusions on analysis of the Labour Force Survey, a regular update on employment in the UK published by the Office for National Statistics.
"The data on long-term migrants suggests that migrants from the EU tend to settle down and stay in the UK, including some of those who originally arrive only intending to stay for a short time," the report said.
Migrants from outside the EU were more likely than their European counterparts to come the UK to work for a short period before returning to their home countries, it added.
The findings disputed claims leaving the EU will damage the economy
The pool of Eastern European workers in the UK "has been a largely settled population, at least since the end of the recession," the report said.
"This suggests that there is no need for a continued iflow to maintain the existing stock of Eastern European workers in particular."
The stock of migrants from 10 eastern European countries – Czech Republic, Estonia, Hungary, Latvia, Lithuania, Poland, Slovakia, Slovenia, Romania and Bulgaria – appeared to be increasing rather than decreasing, according to the report.
It said: "On the assumption that EU citizens who are here before the UK leaves the European Union will have their rights preserved, this analysis suggests that there will not be a need for any significant continuing inflow to sustain the existing east European workforce as it appears that previous arrivals have not in fact tended to leave the UK such as to need continual replenishment."
Get Quotes on Home Insurance
Prime Minister Theresa May on immigration
Sun, July 24, 2016
After 6 years as home secretary, New Prime Minister Theresa May is probably best known for her tough stance on immigration. Take a look as what she has to say on the subject.
1 of 9
'Brexit means Brexit', Theresa May has appointed Eurosceptic David Davis as minister in charge of the UK's withdrawal from the EU
Migration Watch has called for restrictions on lower-skilled migration, saying curbs could reduce net migration from the EU by around 100,000 a year.
The data on long-term migrants suggests that migrants from the EU tend to settle down and stay in the UK
Migration Watch report
International net migration from Europe and the rest of the world has been running at near-record levels of around a third of a million, well above the government's target of less than 100,000.
Alp Mehmet, vice chairman of Migration Watch, said: "Employers will not face a cliff edge over their workers from the EU.
"In the past 10 years, very many migrants from Eastern Europe in low-skilled work seem to have stayed on so there is no sign that continued large inflows are needed to maintain the present number available for work.
Migrants from the EU tend to settle downand stay in the UK
"Cutting out this aspect of migration in future should reduce net migration by about 100,000 a year. This would be a major step forward in the government's efforts to reduce immigration."
Analysts have predicted that sectors such as construction, hospitality, social care and fruit picking are likely to be the main targets of any post-Brexit policies to reduce migration from the EU for work-purposes.
The Government is expected to seek to introduce controls on free movement rules following the Brexit vote, but ministers have remained tight-lipped about the future system.
The number of migrants from Eastern Europe has been lately on the rise
Last month, Home Secretary Amber Rudd hinted that the regime could include measures to reduce the number of migrants who arrive from the EU looking for work.
Figures show that an estimated 82,000 EU immigrants came to the UK to seek employment in the year to June.
The Government's Brexit white paper says the new system will be designed to help fill skills shortages, while any approach could be "phased in" to give businesses and individuals time to plan and prepare for changes.