Sloppy Joe's Bar is a historic U.S. bar in Key West, Florida. It is now located on the north side of Duval Street at the corner of Greene Street, (201 Duval Street). Sloppy Joe's is open 365 days a year from 9:00am–4:00am Monday through Saturday and noon-4:00am Sundays. They have a food menu, including wraps, sandwiches, fish, shrimp, pizza and salads as well as an extensive alcoholic beverage menu ...