It was earlier reported that about 250 Disney workers were laid off last year and many were replaced by immigrants hired by an outsourcing company based in India.
Some of the laid-off workers had to train immigrants on H-1B visas to do their jobs.
It had said that the layoffs at Disney and at other companies, including the Southern California Edison power utility, are "raising new questions about how businesses and outsourcing companies are using the temporary visas, known as H-1B, to place immigrants in technology jobs in the United States."
The NYT report said former Disney workers were struggling to find new technology jobs in the Orlando area, where Disney is overwhelmingly the biggest employer. Last year, Southern California Edison, a power utility, started layoffs of 540 workers, replacing them with immigrants brought in by a different Indian-based outsourcing company.
A bipartisan group of senators, including Charles E Grassley, Republican of Iowa and Richard Durbin, Democrat of Illinois, have asked the Labour Department to investigate those layoffs for possible violations.