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."
More top news
Tuesday: A cloudy, cool and dull day with outbreaks of heavy rain becoming lighter and patchier.
The former England cricketer fears England will become "cluttered" unless it leaves the EU.
Jean-Louis Cayrou, 54, was found guilty of murdering his ex-lover Patricia Wilson, 58, after their relationship broke down.