The home secretary will also announce a review, to be conducted by the Migration Advisory Council, of the professions that qualify for the visas, with a view to adding Global Positioning System and teachers, among others.
The proposed changes will affect the Tier 2 visas, which are used by skilled workers from outside the European Economic Area and Switzerland.
People from all 28 European Union countries can now live in Britain under the bloc's free-movement rules. According to the Telegraph, Javid has warned Prime Minister Theresa May in a letter that increased recruitment of doctors from outside the European Union has led to a shortage of skilled migrants in other sectors and to the cap being breached in every month since December.
The move would mean businesses will be allowed to employ an additional 8,000 skilled migrants annually in industries including IT, engineering and education, which according to the paper effectively increases the current cap by 40 percent.
Andrew Foster, chief executive of the Wrightington, Wigan and Leigh NHS hospital trust, recently hit out at the "bonkers" situation.
The cap was set by Mrs May when she became home secretary in 2010.
It's the first easing of immigration rules by a Conservative government with a longstanding - and unmet - goal of cutting net immigration to below 100,000.
But one source told Sky News the change was about a "long-term plan for the NHS" rather than an overhaul of the policy.