The Office of British Prime Minister Theresa May, insisted that freedom of movement within the EU will not remain in the same way post-Brexit.
The PM's statement follows growing discord, among Cabinet members, over the future of Britain's immigration system.
On Monday, a spokesperson for May said that free movement will end in Spring 2019.
The representative disclosed – in a briefing attended by Business Insider – that, while there remains uncertainty regarding the future of the immigration rules, it was "wrong" to suggest "that free movement will continue as it is now."
The hostility surfaced on Friday, following Philip Hammond assertion that there should be no "cliff edge" for immigration when Britain leaves the EU in Spring 2019.
His comments reflected positively on immigration.
"At the present time, we have a high level of dependence on foreign workers in the UK," Hammond shared with Today.
"Nobody wants us to go over a cliff edge in March 2019 where suddenly our health services are unable to cope, social care is unable to deliver."
But, International Trade Secretary, Liam Fox told the Sunday Times that such an outcome would "not keep faith" with the result of the referendum.
He also added: "If there have been discussions on that I have not been party to them. I have not been involved in any discussions on that."
The foreign secretary dismissed claims that he would demit office as a result of the unease.