Northern Ireland Secretary of State, James Brokenshire, said that the UK will need to strengthen its entry points to prevent illegal immigration.
Mr. Brokenshire also said that he would stop Ireland from being used as a "backdoor" into Britain.
"We have put in place a range of measures to further combat illegal migration working closely with the Irish government," the secretary of state said in an interview with the Guardian.
Mr. Brokenshire also said that moving immigration controls would work better then imposing checks at the border which could violate the Good Friday Agreement.
Cool response to James Brokenshire's plan to shift immigration controls after Brexit — the Irish News https://t.co/dyT7Wd2BJi #uk #fb
— UK Immigration News (@UkBorderNews) 11 October 2016
"Political stability and prosperity in Northern Ireland has been hard fought over many decades, and we will not do anything to undermine it."
After Britain decided to leave the EU in June, concerns grew as to how the 300 mile border between the Irish Republic and Ireland would be manned. If border controls were put along this area, the Good Friday agreement would ultimately be violated.
This however, has been rejected by other government officials who have called the idea implausible.
But Fianna Fail's foreign affairs spokesman Darragh O'Brien said the idea that the Republic would limit the movement of EU citizens within the country was "not grounded in any reality."
Has nobody told Theresa May that Ireland hasn't been a British colony since 1922?#Brexit https://t.co/EYpcd6fhgF
— John Collins (@HangBlaa) 9 October 2016
"At the most basic level, how would those promoting this idea propose that we stop our visitors traveling north of Dundalk?" Mr. O'Brien said.
Other politicians said that this idea showed that the UK was still in the "driving seat" where border controls and Brexit is concerned.
Sinn Fein's Matt Carthy, said that the idea was unacceptable and that the Irish government must take responsibility for its people in the north and the south.
"Stop being led by the nose by the Tory Brexiteers, who clearly do not have Ireland's interests at heart," Mr. Carthy said in a recent interview.