Before assuming office in January, Trump said that one of his first tasks would be to issue an executive order for the Labour Department to investigate visa abuses that he asserted undercut the wages of American workers.
Along with H1-B, Spicer mentioned spousal and others as categories of visas that Trump may act on.
H1-B visas are issued to qualified professionals. A related visa is the L1, which is given to employees of a company who are transferred to the US. Both of them are used extensively by Indian companies.
In 2015, President Barack Obama's administration permitted spouses of H1-B visa-holders to get permission to work.
Spicer said that these visas were part of the "larger immigration reform effort".
"You've already seen a lot of action on immigration," he added, referring to the temporary ban on visitors from nine countries from where this and previous administrations have perceived terrorist threats.
According to ComputerWorld magazine, nearly 86 pct of H1-B visas for computer-related jobs and 46.5 pct for engineering positions were given to Indians.
The US issues 85,000 H1-B visas every year, of which 20,000 are for master's degree holders from US universities. Because of the large number of applicants - 236,000 in 2016 - the H1-B visas were issued through a lottery system.
During his campaign and afterwards, Trump criticised the work visa system for the abuses in the way visas were obtained and the impact on American technology workers.
He vowed in a speech in December 2016, to end the practice of laid off American workers being made to train foreigners brought over to replace them.
He called these incidents "demeaning" and said, "We are not going to let it happen to our people any more."
Like Trump, some Democrats, also want to restrict H1-B visas.
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