Connie \c(on)-nie\ as a boy's name (also used as girl's name Connie), is a variant of Conan (English, Irish, Gaelic), Conrad (Old German) and Cornelius (Latin), and the meaning of Connie is "hound, wolf; high; brave, bold ruler or counsel; horn".
The baby name Connie sounds like Conn, Coyne and Kennie. Other similar baby names are Ronnie, Lonnie, Donnie, Jonnie and Sonnie.