Marriott International has issued layoff notices to some technology workers in its Bethesda, Frederick and Gaithersburg offices and warned that more are likely to follow, according to filings with the Maryland Labor Department.

The notices say 35 positions will be eliminated initially; 34 of those will occur in the Bethesda office, the company said separately. By December 2013, the number could rise to “several hundred” across the three offices. The cuts are effective June 28.

Such notices are mandated by the federal Worker Adjustment and Retraining Notification Act, or WARN Act, which requires many large employers to give a 60-day notice of a mass layoff.

Marriott said in March that it was cutting information technology jobs at its Bethesda headquarters. At the time, the company said it had spent months preparing its information technology staffers for a shift toward a smaller organization.

As it announced plans to downsize its IT workforce, chief executive Arne Sorenson said in a blog post that some of that work would be contracted out to firms such as IBM, Xerox and Tata Consulting Services.

Even with such cuts, Marriott remains one of the Washington area’s largest employers. Of the hotel giant’s approximately 127,000 global employees, about 15,000 are based in this region.

(An earlier version of this story, which relied on a state filing, has been updated with new information from the company explaining that the number of jobs to be cut represented the total to be eliminated at all three Marriott locations named in the story instead of at each individually. This story has since been updated.)