According to the American Heart Association, people with high blood pressure should be aware that the use of decongestants may raise blood pressure or interfere with the effectiveness of some prescribed blood pressure medications. Coricidin HBP maximum strength cold cough & Flu is decongestant-free and provides fast relief from sore throat, cough, chest congestion, fever, body aches & pains and headache. It's the #1 selling brand of powerful cold medicine specially formulated for people with high blood pressure. Based on unit sales.