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. Nasal decongestants relieve nasal congestion by constricting blood vessels in the nose. Coricidin HBP Chest Congestion & Cough liquid gels provide fast-acting relief for chest congestion & cough. It's the #1 brand of powerful cold medicine specially formulated for people with high blood pressure.