When a coronavirus vaccine becomes readily available, employers could require employees to get it. Dallas labor lawyer Rogge Dunn says employers will most of the time be well within their rights to order you to get the shot. But he can think of two exceptions. An employee with a medical condition can refuse the vaccine if it aggravates that condition, and two, if your religion prohibits medical care or vaccination. Besides those two, Dunn says your employer could certainly fire you if you refuse your boss’s demand to get vaccinated.