Team Logo. The Jacksonville Tea Men were a team in the North American Soccer League (1968-1984). They struggled financially like they did in Massachusetts. In 1983 they moved to the American Soccer League until that league folded. Retrieved from "https://prosportsteams.fandom.com/wiki/Jacksonville_Tea_Men?oldid=11480" Categories: NASL (1968-1984) Teams Teams in Florida Add category Cancel Save Community content is available under CC-BY-SA unless otherwise noted.