This is not recommended by experts. Differentiating duties of workers or implementing restrictive policies based on whether a person has been vaccinated could lead to violation of medical privacy and employment discrimination requirements. Even identifying employees who have been vaccinated through the use badges or stickers could violate privacy rules.
OSHA specifically notes that, for now, employers should not distinguish between workers who are vaccinated and those who are not. The Occupational Safety and Health Administration (OSHA) issued guidance to employers on January 29, 2021. OSHA also recommends persons who are vaccinated continue to follow protective measures, such as wearing a face covering and remaining physically distant because there is not currently evidence that COVID-19 vaccines prevent transmission of the virus from person-to-person.