Coricidin HBP Cold & Flu Tablets temporarily reduce fever and relieve minor aches and pains, headaches, sneezing and runny noses. Free of decongestants, these Coricidin Cold & Flu Tablets, 20ct, are safe to use if you have high blood pressure. Keep Cold Relief Tablets for People with High Blood Pressure on hand at home, in the office or on the go when you are feeling run down during cold and flu season.