Kathleen Sebelius, the Secretary of Health and Human Services said that employers should at the earliest offer or continue to offer health insurance coverage for employees’ kids up to the age of 26, at minute or nil additional expenses.

Employers will have to present such insurance coverage under the latest health care rule, and Ms. Sebelius said that they ought to act real soon, without waiting for the prerequisite to take effect.

At the demand of the Obama management, more than 65 insurers have by now given their consent to permit young adults to continue on their parents’ policies before the insurers are needed to do so, under the new rule, later this year or early by the subsequent year.

In the most recent survey of 661 big companies, Towers Watson, a worker gets profit from consulting concern; found that 16 percent were preparing to offer coverage to adult kids before the cut-off date, the start of the initial proposal year commencing on or after Sept. 23.

For a lot of employers, with health plans that operate on a calendar-year timetable, the cut-off date is Jan. 1.

The Chief Executives, who had a meeting with Ms. Sebelius were Angela F. Braly of WellPoint; David M. Cordani of Cigna; Scott P. Serota of the Blue Cross and Blue Shield Association; and Patricia A. Hemingway Hall of the Health Care Service Corporation, which manages Blue Cross and Blue Shield plans in quite a lot of states.