Junior Home Office minister James Brokenshire has replaced Mark Harper as Immigration Minister, who resigned after discovering that his cleaner was in Britain illegally.
Karen Bradley will move from the whips office to fill Mr Brokenshire's role.
Ms Bradley will be succeeded by John Penrose within the whips office, and Harriet Baldwin will be brought into the government as a junior whip.
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The Home Secretary said the Government is "against cliff edges" and immigration figures will not suddenly fall when the UK leaves the EU.
Peter Whittle has said it was probably too early for Paul Nuttall to run as an MP for the party after only just becoming its leader.
Three people are in a critical condition and two more were hurt after a car crashed into a wall and hit pedestrians in south London.