There is no clear blueprint for corporate engagement on abortion. After numerous companies came forward to announce that they would cover travel expenses for their employees to get abortions, executives have had to move swiftly to both sort out the mechanics of those policies and explain them to a work force concerned about confidentiality and safety.

Few companies have commented directly on the Supreme Court’s ruling in Dobbs v. Jackson Women’s Health Organization, which ended nearly 50 years of federal abortion rights. Far more have responded by expanding their health care policies to cover travel and other expenses for employees who can’t get abortions close to home, now that the procedure is banned in at least eight states with other bans set to soon take effect. About half the country gets its health care coverage from employers, and the wave of new employer commitments has raised concerns from some workers about privacy.

“It’s a doomsday scenario if individuals have to bring their health care choices to their employers,” said Dina Fierro, a global vice president at the cosmetics company Nars, echoing a concern that many workers have expressed on social media in recent days.