The Government is consulting on plans to ban overseas-only advertising of jobs, by legally requiring employment agencies to seek applicants for posts in Britain.
New plans to restrict the number of JobCentre Plus vacancies automatically advertised on an EU-wide employment portal will also be floated.
Home Secretary Theresa May said: "We are building an immigration system that is fair to British citizens and legitimate migrants, but tough on those who abuse it or flout the law.
"The Immigration Act is a landmark piece of legislation that will make Britain a less attractive place for those who come here for the wrong reasons, and allow us to remove more people when they have no right to remain."
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Heavy rain will move into Northern Scotland today, and the winds will become strong here through the afternoon.
Mr Trump addressed thousands of supporters in Florida on Tuesday and responded to the mixed reviews he received during the debate.
Parents in Anglesey, North Wales, will have to show birth certificates in order to prove their child's age and qualify for the scheme.