This is not true. According to the CDC, it’s perfectly fine to get COVID-19 and flu vaccinations at the same time – in fact, they encourage people to do so.
This recommendation applies to your first COVID-19 dose, your second dose, or your booster shot (it also applies to eligible children.) So, if you are planning to get a COVID-19 vaccination soon, you may be able to schedule your annual flu shot at the same visit (the shots are usually given in different arms). However, if you prefer, it’s also fine to have the shots done on different days.
The flu and COVID-19 can be dangerous to your health, and it’s possible to contract both viruses at the same time. So, if you haven’t done so, schedule your vaccinations today. CVS, Walmart and Walgreens all offer convenient flu and COVID-19 vaccinations. Please see their websites for details or visit vaxfinder.mass.gov.