CoughCoughing is another key symptom, but it's not just any cough, said Schaffner. Flu and cold symptomsThis trifecta of symptoms -- fever, cough and shortness of breath -- are not the only signs of sickness that have been seen in cases of Covid-19. One possible sign that you might have Covid-19 is if your symptoms, especially shortness of breath, don't improve after a week or so but actually worsen. "Anosmia, in particular, has been seen in patients ultimately testing positive for the coronavirus with no other symptoms," the statement says. Still, a pink or red eye could be one more sign that you should call your doctor if you also have other tell-tale symptoms of Covid-19, such as fever, cough or shortness of breath.