What is DexaPico and what it is used for DexaPico is a syrup containing dextromethorphan hydrobromide and linden flower extract. DexaPico is an antitussive medicine. Its action, lasting 6-8 hours, is to suppress the cough center in the central nervous system, thereby reducing the frequency of attacks of dry cough. Linden blossom extract soothes upper respiratory tract irritation caused by coughing.