Terry played against Marriott last season during Villa’s 3-1 defeat Peterborough United in the FA Cup last season.
The former Chelsea defender was playing for the Villans, while the 24-year-old striker scored twice for the Posh.
According to The Birmingham Mail, Terry recommended Marriott to his former Chelsea teammate Lampard, who was appointed the Derby manager in the summer transfer window.
Derby signed Marriott from League One club Peterborough in the summer transfer window.
Derby are fifth in the Championship table at the moment, while Villa currently find themselves 14th in the league standings.