Vaccines for the regular flu are advisable at this time. For the 2020-2021 season, various vaccines are being recommended by the CDC. None of these protect against COVID-19. The CHC says it’s possible to have flu, as well as other respiratory illnesses, and COVID-19 at the same time, and that health experts are still studying how common this can be. Find more information about the 2020-2021 influenza season from the CDC.