OSHA:

If you require your employees to be vaccinated as a condition of employment (i.e., for work-related reasons), then any adverse reaction to the COVID-19 vaccine is work-related. The adverse reaction is recordable if it is a new case under 29 CFR 1904.6 and meets one or more of the general recording criteria in 29 CFR 1904.7.

https://www.osha.gov/coronavirus/faqs#collapse-vaccine2

https://archive.is/naQPN#collapse-vaccine2