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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The slump will spark scrutiny, especially as statistics show a rise in racially or religiously motivated offences following the EU vote.
The 53-year-old was killed shortly after leaving her home in Mosta, Prime Minister Joseph Muscat said.
Jordi Sanchez of the Catalan National Assembly and Jordi Cuixart of the Omnium Cultural group were jailed on Monday.