For most infectious diseases, such as smallpox, measles, and chicken pox, those who have contracted the pathogens will develop a certain degree of immunity against the disease. And generally speaking, they don't need to be vaccinated.
Though there are reports of COVID-19 re-infection, these are individual cases, and more research is required to draw a conclusion on the risk.
Currently, confirmed COVID-19 patients and asymptomatic patients are not suggested to take the shot.
The answer is based on information provided by the National Health Commission